Analytical and numerical solution of hydrodynamic and gas dynamic problems
Biography
Graduated from Moscow Institute of Physics and Technology, Management and Applied Mathematics Department (1988). In 2007 was awarded the academic title of Professor. Professor of the Department of Fundamental Mathematics and Digital Technologies of Tver State University
Main publications:
Sheretov Yu. V., Mathematical Modeling of Fluid and Gas Flows on the Base of Quasi-Hydrodynamic and Quasi-Gas-Dynamic Equations:
Dissertation for the degree of Doctor of Physical and Mathematical Sciences, Tver State University, 2000, 236 pp. elibrary.ru/item.asp?id=19164448 (in Russian)
Sheretov Yu. V., Continuum Dynamics under Spatiotemporal Averaging, Regular and Chaotic Dynamics, 2009, 400 pp. elibrary.ru/item.asp?id=30543818 (in Russian)
Sheretov Yu. V., Regularized Hydrodynamic Equations, Tver State University, 2016, 222 pp. elibrary.ru/item.asp?id=30097584 (in Russian)
Yu. V. Sheretov, “About one identity in gas dynamics”, Perspectives of the Development of Mathematical Education in the Era of Digital Transformation, Materials of the Fifth All-Russian Scientific and Practical Conference (March 28-30, 2024), eds. Chemarina Yu.V., Golubev A.A., Tver State University, 2024, 148–151math.tversu.ru/pages/3177
2.
Yu. V. Sheretov, “One identity in gas dynamics”, Collection of scientific papers of the Fourteenth All-Russian scientific conference with international participation «Chemical Thermodynamics and Kinetics» (Tver, May 13-17, 2024), Tver State University, 2024, 325–326chtermik.tversu.ru/
3.
Yu. V. Sheretov, “On some identities in gas dynamics”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2024, no. 2, 18–26
4.
V. V. Grigoryeva, Yu. V. Sheretov, “Construction of solutions to the Cauchy
problem for Quasi-hydrodynamic system using Lin’s substitution”, Vestnik TvGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2024, no. 4, 5–16
2023
5.
Yu. V. Sheretov, “On the superposition of non-stationary Caldonazzo solutions and stationary Strahovich solutions for Quasi-hydrodynamic system”, Perspectives of the Development of Mathematical Education in the Era of Digital Transformation, Materials of the Fourth All-Russian Scientific and Practical Conference (Tver, March 30 – April 1, 2023), eds. Chemarina Yu.V., Golubev A.A., Tver State University, 2023, 154–158math.tversu.ru/pages/2900
6.
Yu. V. Sheretov, “On construction of exact solutions of stationary quasi-hydrodynamic system using Lin's substitution”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2023, no. 1, 36–48
7.
Yu. V. Sheretov, Kinetically Consistent Gas Dynamics Equations, Tver State University, 2023 , 129 pp.
8.
Yu. V. Sheretov, “On the superposition of Caldonazzo and Strakhovich solutions for quasi-hydrodynamic system”, Collection of Reports of Thirteenth Intern. Sci. Conf. «Chemical
Thermodynamics and Kinetics» (Veliky Novgorod, May 15-19, 2023), Yaroslav-the-Wise Novgorod State University, 2023, 364–366
2022
9.
Yu. V. Sheretov, “On the principle of superposition of solutions of quasi-hydrodynamic system”, Perspectives of the Development of Mathematical Education in the Era of Digital Transformation, Materials of the Third All-Russian Scientific and Practical Conference (March 24–26, 2022, Tver), eds. Chemarina Yu.V., Golubev A.A., Tver State University, 2022, 254–257math.tversu.ru/pages/2165
10.
V. V. Grigoryeva, Yu. V. Sheretov, “On a new class of exact solutions of Quasi-Hydrodynamic system, generated by eigenfunctions of two-dimensional Laplace operator”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 1, 5–17
11.
Yu. V. Sheretov, “Principle of superposition of solutions for quasi-hydrodynamic system”, Collection of Reports of Twelfth Intern. Sci. Conf. «Chemical Thermodynamics and Kinetics» (Tver, May 16-20), Tver State University, 2022, 357–358chtermik.tversu.ru/
12.
Yu. V. Sheretov, “Superposition principle for solutions of quasi-hydrodynamic system”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 2, 60–73
Yu. V. Sheretov, “On a method for constructing exact solutions of a two-dimensional quasi-hydrodynamic system”, Perspectives of the Development of Mathematical Education in the Era of Digital Transformation, Materials of the Second All-Russian Scientific and Practical Conference (March 25–27, 2021, Tver), eds. Chemarina Yu.V., Golubev A.A., Tver State University, Tver, 2021, 214–218math.tversu.ru/pages/1692
15.
V. V. Grigoryeva, Yu. V. Sheretov, “On exact solutions of quasi-hydrodynamic system that don't satisfy the Navier-Stokes and Euler systems”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2021, no. 2, 5–15
16.
Yu. V. Sheretov, “On the construction of exact solutions of two-dimensional quasi-hydrodynamic system”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2021, no. 1, 5–20
17.
Yu. V. Sheretov, “On three classes of exact solutions for quasi-hydrodynamic system”, Collection of Reports of Eleventh Intern. Sci. Conf. «Chemical Thermodynamics and Kinetics» (Veliky Novgorod, May 17-21, 2021), Yaroslav-the-Wise Novgorod State University, 2021, 318–319www.novsu.ru/file/1832478
2020
18.
Yu. V. Sheretov, “On the exact solutions of Cauchy problem for quasi-hydrodynamic system”, Perspectives of the Development of Mathematical Education in the Era of Digital Transformation, Materials of the All-Russian Scientific and Practical Conference (Tver, March 27–28, 2020), eds. Chemarina Yu.V., Golubev A.A., Tver State University, 2020, 239–242math.tversu.ru/pages/1179
19.
Yu. V. Sheretov, “On the solutions of Cauchy problem for quasi-hydrodynamic system”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2020, no. 1, 84–96
20.
Yu. V. Sheretov, “Properties of solutions of the initial-boundary value problem and the Cauchy problem for quasi–hydrodynamic system”, Collection of Reports of Tenth Intern. Sci. Conf. "Chemical Thermodynamics and Kinetics (Veliky Novgorod, May 25–29, 2020), Yaroslav-the-Wise Novgorod State University, 2020, 275–276
21.
Yu. V. Sheretov, “On classes of exact solutions of quasi-hydrodynamic system”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2020, no. 2, 5–17
2019
22.
Yu. V. Sheretov, “About results of the work of Mathematical Analysis Department of Tver State University in 2018”, Proc. of Third All-Russian Sci. Conf. “Perspectives for the Development of Mathematical Education in Tver and Tver Region” (Tver, March 29–30, 2019), Tver State University, Tver, 2019, 214–217math.tversu.ru/pages/1042
23.
Yu. V. Sheretov, “Exact solutions of quasi-hydrodynamic system on the base of Biot-Savart formula”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2019, no. 1, 38–49
24.
Yu. V. Sheretov, “Three classes of exact solutions of a stationary quasi–hydrodynamic system”, Contemporary Problems of Mathematics and Mechanics. Proc. of the Intern. Conf. Dedicated to the 80-th Anniversary of Academician V.A. Sadovnichy (Moscow, May 13 – 15), MAKS Press, Moscow, 2019, 619–620sadovnichii80.msu.ru
25.
Yu. V. Sheretov, “Simplified quasi–hydrodynamic models of slow flows of a weakly compressible viscous fluid”, Proc. IX Intern. Sci. Conf. “Chemical Thermodynamics and Kinetics”, Dedicated to the 100-th Anniversary of Professor L.M. Scherbakov (Tver, May 20 – 24), Tver State University, 2019, 386–387www.tversu.ru/conferences/20.05.2019.html
26.
Yu. V. Sheretov, “On the properties of solutions of main initial-boundary value problem for quasi-hydrodynamic equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2019, no. 3, 5–19
2018
27.
Yu. V. Sheretov, “On the teaching and research work of the Mathematical Analysis Department of Tver State University in 2017”, Proc. of the Second All-Russian Sci. Conf. “Perspectives for the Development of Mathematical Education in Tver and Tver Region” (Tver, April, 21), Tver State University, 2018, 224–229math.tversu.ru/pages/802
28.
Yu. V. Sheretov, “Exact solutions of the quasi–hydrodynamic system that satisfy the generalized Gromeki–Beltrami condition”, Proc. VIII Intern. Sci. Conf. “Chemical Thermodynamics and Kinetics” (Tver, May 28 – June 1, 2018), Tver State University, 2018, 437–438university.tversu.ru/conferences/01_05_2018.html
29.
Yu. V. Sheretov, “On the exact solutions of quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 3, 5–18
30.
V. V. Grigoryeva, Yu. V. , “On the uniqueness of classical solution of simplified quasi–hydrodynamic system”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 39, Tver State University, 2018, 38–50
31.
Yu. V. Sheretov, “On common exact solutions of the Navier-Stokes equations and the quasi-hydrodynamic system”, Proceedings V International Scientific Conference “Non-local boundary value problems and related problems of mathematical biology, informatics and physics”, dedicated to the 80-th anniversary of Adam Maremovich Nakhushev (Nalchik, December 4-7, 2018), The Institute of Applied Mathematics and Automation of the Kabardino-Balkarian Scientific Center RAS, Nalchik, 2018, 216binak2018.niipma.ru/en/home/
32.
G. M. Sheretova, Yu. V. Sheretov, V. V. Grigoryeva (Sheretova), “On the Eightieth Birthday of Professor Vladimir Georgievich Sheretov”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 39, Tver State University, 2018, 4–7
2017
33.
Yu. V. Sheretov, “On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 1, 85–94pmk-vestnik.tversu.ru/issues/2017-1/vestnik-pmk-2017-1-sheretov.pdf
34.
Yu. V. Sheretov, “Training of highly qualified personnel at the department of mathematical analysis of Tver State University”, Proc. of Sci. Conf. “Perspectives for the Development of Mathematical Education in Tver and Tver Region” (Tver, February 18, 2017), 2, Tver State University, 2017, 187 – 190
35.
Yu. V. Sheretov, “Common exact solutions of the Navier–Stokes system and quasi–hydrodynamic system for stationary flows”, Collection of Reports VII Intern. Sci. Conf. “Chemical Thermodynamics and Kinetics” (Veliky Novgorod, May 29 – June 2, 2017), Yaroslav-the-Wise Novgorod State University, 2017, 362–363www.novsu.ru/file/1294844
36.
Yu. V. Sheretov, “On the common exact solutions of stationary Navier–Stokes and quasi–hydrodynamic systems, not satisfying to Euler equations”, Vestnik TvGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 2, 5–15pmk-vestnik.tversu.ru/issues/2017-2/vestnik-pmk-2017-2-Sheretov.pdf
37.
Yu. V. Sheretov, “On common exact solutions of Navier-Stokes and quasi-hydrodynamic systems for nonstationary flows”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 3, 13–25pmk-vestnik.tversu.ru/issues/2017-3/vestnik-pmk-2017-3-Sheretov.pdf
38.
V. V. Grigoryeva, Yu. V. Sheretov, “Simplified quasi–hydrodynamic model of slow flows of a weakly compressible viscous fluid”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 38, Tver State University, 2017, 57–67
V. V. Grigoryeva, Yu. V. Sheretov, “Simplified quasi-hydrodynamic model for slow flows of compressible viscous heat conducting gas”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 3, 5–17pmk-vestnik.tversu.ru/issues/2016-3/vestnik-pmk-2016-3-grigoryeva.pdf
41.
V. V. Grigoryeva, Yu. V. Sheretov, “On the dissipative properties of quasi–hydrodynamic equations in Stokes approximation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 2, 95–105pmk-vestnik.tversu.ru/issues/2016-2/vestnik-pmk-2016-2-grigoryeva.pdf
Yu. V. Sheretov, “On the exact solution of stationary quasi–hydrodynamic equations”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 37, Tver State University, 2016, 43–49
44.
Yu. V. Sheretov, “Theory and applications of quasi–hydrodynamic equations”, Proc. VI Intern. Sci. Conf. “Chemical Thermodynamics and Kinetics” (Tver, 2016, May 30 – June 3), Tver State University, 2016, 311–312university.tversu.ru/conferences/docs/materiali_1.pdf
45.
Yu. V. Sheretov, “Quasi–hydrodynamic models of fluid and gas flows”, Facutly of Computational Mathematics and Cybernetics at Moscow State University, Abstr. Intern. Conf. “Contemporary Problems of Mathematical Physics and Computational Mathematics”, dedicated to the 110 anniversary of A.N. Tikhonov (Moscow, October 31 – November 3, 2016), MAKS Press, 2016, 78mpmpcm2016.cs.msu.ru/program.pdf
2015
46.
Yu. V. Sheretov, “Uniqueness of solution for linearized quasi–Hydrodynamic equations in barotropic approximation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 1:1 (2015), 137–148pmk-vestnik.tversu.ru/issues/2015-1/vestnik-pmk-2015-1-sheretov.pdf
47.
V. V. Grigoryeva, Yu. V. Sheretov, “Solution of Cauchy problem for quasi–hydrodynamic equations in Stokes approximation”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 36, Tver State University, 2015, 50–55
2014
48.
Yu. V. Sheretov, “Uniqueness of solution for linearized quasi–hydrodynamic equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2014, no. 2, 33–45 (to appear) pmk-vestnik.tversu.ru/issues/2014-2/vestnik_2014_2_sheretov.pdf
49.
Yu. V. Sheretov, “On common exact solutions of Saint–Venant and regularized Saint–Venant equations in shallow water theory”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 35, Tver State University, 2014, 72–81
50.
V. V. Grigoryeva, V. G. Sheretov, Yu. V. Sheretov, Elements of probability theory and mathematical statistics, Electronic Edition. Registrated in Ministry of Communications and Mass Communications of Russian Federation 6.05.2014, ¹ 0321491184, Second Edition, Tver State University, 2014 , 88 pp. catalog.inforeg.ru/Inet/GetEzineByID/300556
2013
51.
Yu. V. Sheretov, “On common exact solutions of Euler, Navier–Stokes and quasi–hydrodynamic systems for planar stationary flows”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2013, no. 2, 29–36
52.
Yu. V. Sheretov, “On common exact solutions of Euler, Navier–Stokes and quasi–hydrodynamic systems for spatial stationary flows”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2013, no. 3, 5–18
53.
A. A. Sukhomozgii, Yu. V. Sheretov, “One finite–difference scheme for Saint–Venant equations in shallow water theory”, Proc. Intern. Sci. Conf. "Finite–Difference Schemes and their Applications Dedicated to 90-th Anniversary of Prof. V.S. Ryabenkiy (Moscow, May 27–31, 2013), Keldysh Institute of Applied Mathematics of RAS, 2013, 107–108www.keldysh.ru/events/ryabenkiy.pdf
54.
A. A. Sukhomozgii, Yu. V. Sheretov, “Using regularized Saint–Venant equations for construction numerical algorithms of solution two–dimensional problems in shallow water theory”, Proc. of Third Russian School–Conference for Young Scientists “Mathematics, Informatics, their Applications and Role in Education” (Tver, February 15–16, 2013), Tver State University, 2013, 129–134
55.
A. A. Sukhomozgii, Yu. V. Sheretov, “Analysis of stability of one finite–difference scheme for solution Saint–Venant equations in shallow water theory”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 34, Tver State University, 2013, 48–60
2012
56.
Yu. V. Sheretov, “Maxwell equations with dissipation”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 33, Tver State University, 2012, 82–90
57.
A. A. Sukhomozgii, Yu. V. Sheretov, “Uniqueness of solution for regularized Saint–Venant equations in linear approximation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, no. 1, 5–17
58.
A. A. Sukhomozgii, Yu. V. Sheretov, “Testing of new algorithm for calculation of non-stationary fluid flows with free boundary”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, no. 4, 47–64
2011
59.
Yu. V. Sheretov, “Uniqueness of classical solution of main boundary- value problem for quasi–hydrodynamic equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2011, no. 1, 7–20eprints.tversu.ru/1598/1/19950136_2011_1_sheretov.pdf
60.
Yu. V. Sheretov, “Methods of construction of exact solutions for quasi– hydrodynamic equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2011, no. 2, 5–26 (to appear) eprints.tversu.ru/1610/1/19950136_2011_2_sheretov.pdf
61.
Yu. V. Sheretov, “Uniqueness of solution for quasi–hydrodynamic equations in shallow water approximation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2011, no. 3, 7–28eprints.tversu.ru/1578/1/19950136_2011_3_sheretov.pdf
62.
A. A. Sukhomozgii, Yu. V. Sheretov, “Quasi–hydrodynamic equations and harmonic functions”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2011, no. 4, 19–24eprints.tversu.ru/1619/1/19950136_2011_4_sheretov.pdf
2010
63.
Yu. V. Sheretov, “On common exact solutions of Navier–Stokes, Euler and quasi–hydrodynamic systems”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2010, no. 2, 41–58eprints.tversu.ru/1292/1/19950136_2010_2_sheretov.pdf
64.
Yu. V. Sheretov, “Quasi–hydrodynamic equations and analytical functons”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 32, Tver State University, 2010, 61–68
2009
65.
Yu. V. Sheretov, “On the properties of quasi–hydrodynamic equations in barotropic approximation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2009, no. 3, 5–19eprints.tversu.ru/796/1/19950136_2009_3_sheretov.pdf
66.
Yu. V. Sheretov, Continuum dynamics under spatiotemporal averaging, Regular and Chaotic Dynamics, Moscow–Izhevsk, 2009 , 400 pp.
67.
Yu. V. Sheretov, “Theoretical and numerical analysis of quasi–hydrodynamic equations”, Abstracts, Intern. Sci. Conf. “Contemporary Problems of Computational Mathematics and Mathematical Physics”, dedicated to the memory of Academician A.A. Samarskii, Facutly of Computational Mathematics and Cybernetics at Moscow State University (Moscow, June 16–18, 2009), MAKS–Press, 2009, 278–279
68.
V V. Grigoryeva, V. G. Sheretov, Yu. V. Sheretov, Elements of probability theory and mathematical statistics, Textbook, Tver State University, 2009 , 88 pp.
2008
69.
T. G. Elizarova, A. A. Khokhlov, Yu. V. Sheretov, “Quasi-gasdynamic numerical algorithm for gas flow simulations”, Internat. J. Numer. Methods Fluids, 56:8 (2008), 1209–1215
Yu. V. Sheretov, “Variational principles for stationary quasi–hydrodynamic equations in Stokes approximation”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 30, Tver State University, 2008, 78–84
2007
71.
Yu. V. Sheretov, “On the construction of solutions of non–stationary quasi–hydrodynamic equations in Stokes approximation”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 29, Tver State University, 2007, 49–59
72.
Yu. V. Sheretov, “Mathematical analysis of quasi-hydrodynamic equations in the Stokes approximation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2007, no. 7, 99–118eprints.tversu.ru/465/1/19950136_2007_4_sheretov.pdf
2006
73.
M. V. Semenov, Yu. V. Sheretov, “Numerical simulation of axially–symmetrical subsonic gas flows near sphere”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2006, no. 1(3), 78–97eprints.tversu.ru/8/1/19950136_2006_1_semenov_sheretov.pdf
74.
M. V. Semenov, Yu. V. Sheretov, “New numerical algorithm of subsonic gas flows calculation in vicinity of sphere”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 28, Tver State University, 2006, 80–101
75.
M. V. Semenov, Yu. V. Sheretov, “Numerical simulation of separated axisymmetric fluid and gas flows in vicinity of sphere”, Abstracts, Intern. Conf. “Tikhonov and Contemporary Mathematics”, Mathematical Modeling (Moscow, June 19–25, 2006), 2, Facutly of Computational Mathematics and Cybernetics at Moscow State University, 2006, 163
2005
76.
T. G. Elizarova, M. E. Sokolova, Yu. V. Sheretov, “Quasi-gasdynamic equations and numerical simulation of viscous gas flows”, Comput. Math. Math. Phys., 45:3 (2005), 524–534
77.
M. V. Semenov, Yu. V. Sheretov, “New numerical algorithm for axially–symmetrical flow calculation in vicinity of sphere for moderate Reynolds numbers”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2005, no. 2, 51–60eprints.tversu.ru/1324/1/2005-semenov.pdf
78.
Yu. V. Sheretov, “Ellipticity in Petrovky and Douglis–Nirenberg sence for stationary quasi–hydrodynamic system in Stokes approximation”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 26, Tver State University, 2005, 124–131
79.
M/~V. Semenov, Yu. V. Sheretov, “Numerical simulation of axially–symmetrical fluid flows in vicinity of sphere”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 26, Tver State University, 2005, 107-123
80.
T. G. Elizarova, I. S. Kalachinskaya, Yu. V. Sheretov, I. A. Shirokov, “Numerical simulation of electrically conducting fluid flows in external magnetic field”, Radio Engineering and Electronics, 50:2 (2005), 245–251
2004
81.
T. G. Elizarova, I. S. Kalachinskaya, Yu. V. Sheretov, Separating flow behind a back-step. Part I. Quasi-hydrodynamic equations and computation of a laminar flow, 2004 , 12 pp., arXiv: math-ph/0407053
82.
T. G. Elizarova, I. S. Kalachinskaya, Yu. V. Sheretov, I. A. Shirokov, Numerical simulation of the electrically conducting flows in the external magnetic field, 2004 , 9 pp., arXiv: math-ph/0407074
83.
Yu. V. Sheretov, “Analysis of stability of modified kinetically consistent schemes in acoustic approximation”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 25, Tver State University, 2004, 133–146
84.
M. V. Semenov, Yu. V. Sheretov, “Numerical simulation of slow viscous gas flows in vicinity of sphere”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 25, Tver State University, 2004, 35–45
85.
Yu. V. Sheretov, Mathematical models of hydrodynamics, Textbook, Tver State University, 2004 , 80 pp.
86.
V. V. Grigiryeva, Yu. V. Sheretov, Introduction to the theory of probability, Methodical Article, Tver State University, 2004 , 41 pp.
2003
87.
Yu. V. Sheretov, “Analysis of the problem of flow around a sphere for quasi–hydrodynamic equations in Stokes approximation”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 24, Tver State University, 2003, 177–186
88.
Yu. V. Sheretov, “Hydrodynamic equations and galilean transformations”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 24, Tver State University, 2003, 187–198
89.
Yu. V. Sheretov, “Parabolized quasi–gas–dynamic equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2003, no. 1, 79–83eprints.tversu.ru/1347/1/2003-sheretov.pdf
2004
90.
T. G. Elizarova, Yu. V. Sheretov , I. A. Shirokov, “Magnetic supression of thermocapillary convection in a cylindrical specimen”, Computational Mathematics and Modeling, 15:2 (2004), 150–166
91.
T. G. Elizarova, A. V. Zherikov, I. S. Kalachinskaya, Yu. V. Sheretov, “Simulation of convective flows of an electrically conducting fluid in a cavity”, Computational Mathematics and Modeling, 15:1 (2004), 52–68
92.
T. G. Elizarova, I. S. Kalachinskaya, Yu. V. Sheretov, E. V. Shilnikov, “Simulation of separating flows over a backward-facing step”, Computational Mathematics and Modeling, 15:2 (2004), 167–193
2003
93.
T. G. Elizarova, Yu. V. Sheretov, “Analyse du probleme de l’ecoulement gazeux dans les microcanaux par les equations quasi hydrodynamiques”, La Houille Blanche, 2003, no. 5, 66–72
S. Colin, T. G. Elizarova, Yu. V. Sheretov, J. –C. Lengrand, H. Camon, “Micro–ecoulements gazeux: validation experimentale de modeles QHD et de Navier–Stokes avec conditions aux limites de glissement”, Proc. 16 Congres Francais de Mecanique (Nice, September 1–5), 2003, 6
95.
M. V. Semenov, Yu. V. Sheretov, “Analysis of the problem on the flow round a ball on the base of quasi–hydrodynamic equations in Stokes approximation”, Proc. of Intern. Conf. “Parallel Computational Fluid Dynamics” (Moscow, May 13–15, 2003), Elsevier, 2003, 351–354
96.
M. V. Semenov, Yu. V. Sheretov, “Investigation of gas flows round a ball on the base of quasi–hydrodynamic equations in Stokes approximation”, Abstracts, Intern. Conf. “Kolmogorov and Contemporary Mathematics” (Moscow, June 16–21, 2003), Moscow State University, 2003, 756
2002
97.
Yu. V. Sheretov, “On the regularization of Boltzmann equation, leading to the integral conservation laws”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 23, Tver State University, 2002, 77–92
98.
Yu. V. Sheretov, “Parabolized quasi–hydrodynamic equations”, Proc. of Jubilee Conf. “Three Hundred Years of Russian Mathematics” (Tver, October 24–25, 2001), Tver State University, 2002, 79–86
99.
Yu. V. Sheretov, “On the existence and uniqueness of generalized solution of stationary boundary–value problem for quasi–hydrodynamic equations in Stokes approximation”, Proc. of Jubilee Conf. “Three Hundred Years of Russian Mathematics” (Tver, October 24–25, 2001), Tver State University, 2002, 86–94
100.
Yu. V. Sheretov, “On the unique solvability of stationary boundary–value problem for quasi–hydrodynamic equations in Stokes approximation”, Abstracts, Intern. Conf. “Navier–Stokes Equations and Related Topics” (St.-Petersburg, September 11–18, 2002), Steklov Institute of Mathematics, 2002, 70–71
101.
Yu. V. Sheretov, “Theorems on the existence and uniqueness of solutions of boundary–value problems for the linearized quasi–hydrodynamic equations”, Abstracts, Intern. Sci. Conf. “Mathematical Ideas of P.L. Chebyshev and Their Application to Current Problems of Natural Science” (Obninsk, May 14–18, 2002), Obninsk Institute of Nuclear Energy, 2002, 93–94
2001
102.
T. G. Elizarova, Yu. V. Sheretov, “Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations”, Comput. Math. Math. Phys., 41:2 (2001), 219–234
103.
Yu. V. Sheretov, “Quasi–gas–dynamic model of low temperature plazma in electro–magnetic field”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 22, Tver State University, 2001, 169–177
104.
Yu. V. Sheretov, “Analysis of the problem of sound propagation for linearized QHD–systems”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 22, Tver State University, 2001, 178–191
105.
Yu. V. Sheretov, “On the finite–difference approximations of quasi–gas–dynamic equations for axially symmetric flows”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 22, Tver State University, 2001, 191–207
106.
Yu. V. Sheretov, Mathematical modeling of fluid and gas flows on the base of quasi–hydrodynamic and quasi–gas–dynamic equations, Referat of Dissertation for Doctor of Physical and Mathematical Sciences Degree, Tver State University, Tver, 2001 , 25 pp.
2000
107.
Yu. V. Sheretov, “Some properties of quasi–gas–dynamic equations”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations], 21, Tver State University, 2000, 134–149
108.
Yu. V. Sheretov, “Entropy balance theorem for quasi–gas–dynamic equations”, Modeling of Complex Systems, Proceedings of the First Conference–Seminar of Young Scientists (Tver, September 20–26, 1999), 3, Tver State University, 2000, 30–34
109.
T. G. Elizarova, Yu. V. Sheretov, Theoretical and numerical analysis of quasi–gas–dynamic and quasi–hydrodynamic equations, Dialog–MSU, MAKS–Press, Moscow, 2000 , 43 pp.
110.
Yu. V. Sheretov, Mathematical modeling of fluid and gas flows on the base of quasi–hydrodynamic and quasi–gas–dynamic equations, Tver State University, 2000 , 235 pp.
111.
Yu. V. Sheretov, Mathematical modeling of fluid and gas flows on the base of quasi–hydrodynamic and quasi–gas–dynamic equations, Dissertation for Doctor of Physical and Mathematical Sciences Degree, Tver State University, Tver, 2000 , 236 pp.
112.
Yu. V. Sheretov, “Equations of quasi–hydrodynamic type as a model of convective flows.”, Abstracts, VII Russian Symposium “Mechanics of Weightlessness. Results and Prospectives of Fundamental Investigations of Gravity-Sensitive Systems” (Moscow, April 11–14, 2000), Institute for Problems in Mechanics RAS, 2000, 52
1999
113.
Yu. V. Sheretov, “Finite–difference schemes of hydrodynamics in eulerian and lagrangian coordinates on the base of quasi–gas–dynamic and quasi–hydrodynamic equations”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 20, Tver State University, 1999, 184–208
1998
114.
T. G. Elizarova, I. S. Kalachinskaya, A. V. Kluchnikova, Yu. V. Sheretov, “Application of quasi-hydrodynamic equations in the modeling of low-Prandtl thermal convection”, Comput. Math. Math. Phys., 38:10 (1998), 1662–1671
115.
Yu. V. Sheretov, “On the exact solutions of quasi–hydrodynamic equations”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 19, Tver State University, 1998, 213–241
1999
116.
T. G. Elizarova, I. S. Kalachinskaya, A. V. Kluchnikova, Yu. V. Sheretov, “Computation of convective flows using the quasi-hydrodynamic equations”, Computational Mathematics and Modeling, 10:2 (1999), 160–171
1998
117.
Yu. V. Sheretov, “The quasi-hydrodynamic models of flows of continuous medium”, Abstracts, Third Siberian Congress on Industrial and Applied Mathematics, in memory of S.L. Sobolev (Novosibirsk, June 22–27, 1998), 2, Novosibirsk Institute of Mathematics, 1998, 132–133
118.
Yu. V. Sheretov, “Theoretical and numerical analysis the systems of equations of quasi–hydrodynamic type”, Abstracts, Russian Conference “Friedmann Readings” (Perm, September 7–12, 1998), Perm State University, 1998, 48
1997
119.
Yu. V. Sheretov, “Quasi–hydrodynamic equations as a model of viscous heat conducting medium flows”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 18, Tver State University, 1997, 127–155
120.
Yu. V. Sheretov, “Quasi–hydrodynamic model of electrically conducting viscous fluid flows in electro–magnetic field”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], Tver State University, 1997, 155-169
121.
T. G. Elizarova, I. S. Kalachinskaya, A. V. Klyuchnikova, Yu. V. Sheretov, “Using the quasi–hydrodynamic system of equations for modeling heat-conducting fluid flows”, Proceedings, IV International Conference “Mathematics. Computer. Education” (Pushchino, January 29 – February 3, 1997), Biological Faculty of Lomonosov Moscow State University, 1997, 108–115
122.
T. G. Elizarova, I. S. Kalachinskaya, A. V. Kluchnikova, Yu. V. Sheretov, “Viscous flow simulation basing on a new hydrodynamic model”, Proc., Joint X European and VI Russian Symp. on Physical Science in Micro–Gravity (St. Peterburg, June 15–21, 1997), Institute for Problems of Mechanics RAS, 1997, 233–236
1996
123.
D. B. Gurov, T. G. Elizarova, Yu. V. Sheretov, “Numerical simulation of incompressible viscous flows in cavity using quasi-hydrodynamic equations”, Matem. Mod., 8:7 (1996), 33–44
124.
Yu. V. Sheretov, “On new mathematical model in hydrodynamics”, Primenenie funktsionalnogo analiza v teorii priblizhenii [Application of functional analysis in the theory of approximations ], 17, Tver State University, 1996, 124–134
125.
Yu. V. Sheretov, “A new mathematical model of continuous media flows”, Scientific Notes, Proc. of the Scientific Conference, Devoted to 25 Anniversary of the University, 1, Tver State University, 1996, 32–33
126.
Yu. V. Sheretov, “Kvazimagnitogidrodinamicheskaya model techenii vyazkoi elektroprovodnoi zhidkosti”, Tezisy dokl., Mezhdunarodnaya nauchn. konf. “Matematicheskie modeli nelineinykh vozbuzhdenii, perenosa, dinamiki, upravleniya v kondensirovannykh sistemakh i drugikh sredakh” (Tver, 2–5 iyulya 1996 g.), Tverskoi gosudarstvennyi tekhnicheskii universitet, 1996, 98
127.
Yu. V. Sheretov, Numerical integration, Methodical Article, Tver State University, 1996 , 16 pp.
1995
128.
T. G. Elizarova, I. A. Graur, Yu. V. Sheretov, “Quasi–gas–dynamic equations and computer smulation of rarefied gas flows”, Proc. of the 19–th Intern. Symp. on Shock Waves, 4, Springer–Verlag, Berlin, 1995, 45–50
1994
129.
Yu. V. Sheretov, “About the uniqueness of the solutions for one dissipative equation system of hydrodynamic type”, Matem. Mod., 6:10 (1994), 35–45
130.
Yu. V. Sheretov, “A theorem on the dissipation of energy and exact solutions of a system of quasi-hydrodynamic equations”, Comput. Math. Math. Phys., 34:3 (1994), 409–415
1993
131.
Yu. V. Sheretov, “Entropy balance theorem for one system of equations of hydrodynamictype”, Matem. Mod., 5:5 (1993), 106–118
132.
Yu. V. Sheretov, “Quasi–hydrodynamic equations: energy dissipation and exact solutions”, Abstracts, Scientific Conference of Tver State University (Tver, October 29, 1993), Tver State University, 1993, 42–43
133.
Yu. V. Sheretov, Iterational methods for solution of linear algebraic systems, Methodical Article, Tver State University, 1993 , 16 pp.
1992
134.
T. G. Elizarova, B. N. Chetverushkin, Yu. V. Sheretov, “Quasi–gas–dynamic equations and computer simulation of viscous gas flows”, Lecture Notes in Phys. ¹ 414, Proc. 13–th Intern. Conf. on Numer. Meth. in Fluid Dynamics, Springer–Verlag, Rome, 1992, 421–425
135.
I. A. Graur, T. G. Elizarova, Yu. V. Sheretov, Calculation of stationary shock wave structure on the base of quasi–gas–dynamic equations, Preprint ¹ 42, USSR Center of Math. Modeling of RAS, Moscow, 1992 , 20 pp.
1991
136.
T. G. Elizarova, Yu. V. Sheretov, “The invariant norm and asymptotic properties of a generalized quasi-gas-dynamic system”, U.S.S.R. Comput. Math. Math. Phys., 31:7 (1991), 72–78
137.
Yu. V. Sheretov, Numerical modeling of supersonic gas fows on the base of quasi–gas–dynamic equations, Dissertation for Candidate of Physical and Mathematical Sciences Degree, Moscow Institute of Physics and Technology, Moscow, 1991 , 137 pp.
138.
Yu. V. Sheretov, Numerical modeling of supersonic gas flows on the base of quasi–gas–dynamic equations, Referat of Dissertation for Candidate of Physical and Mathematical Sciences Degree, Moscow Institute of Physics and Technology, Moscow, 1991 , 16 pp.
139.
T. G. Elizarova, Yu. V. Sheretov, On the properties of shock wave type solutions for gas dynamic equations with self diffusion, Preprint ¹ 45, USSR Center of Math. Modeling of USSR AS, Moscow, 1991 , 12 pp.
1990
140.
A. N. Antonov, T. G. Elizarova, B. N. Chetverushkin, Yu. V. Sheretov, “Numerical modelling of pulsating regimes accompanying supersonic flow round a hollow cylinder”, U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 139–144
141.
Yu. V. Sheretov, Navier-Stokes equations as the asymptotics of a generalized quasigasdynamic system, Preprint ¹ 46, Akad. Nauk SSSR Inst. Prikl. Mat., Moscow, 1990 , 12 pp.
142.
Yu. V. Sheretov, Entropy theorem for quasi–gas–dynamic equations, Preprint ¹ 131, Akad. Nauk SSSR Inst. Prikl. Mat., Moscow, 1990 , 21 pp.
143.
T. G. Elizarova, Yu. V. Sheretov, Properties of solutions of shock-wave type for quasi-gas-dynamic equations, Preprint ¹ 156, Akad. Nauk SSSR Inst. Prikl. Mat., Moscow, 1990 , 15 pp.
1987
144.
T. G. Elizarova, Yu. V. Sheretov, The invariant form of a system of quasi-gas-dynamic equations and the system's connection with the Navier-Stokes equations, Preprint ¹ 230, Akad. Nauk SSSR Inst. Prikl. Mat., Moscow, 1987 , 18 pp.
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