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Samokhin, Vjacheslav Nicolaevich
Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 29

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References:403
Samokhin, Vjacheslav Nicolaevich
Professor
Doctor of physico-mathematical sciences (1999)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 10.04.1945
E-mail:
Keywords: partial differential equations, non-linear differential equations, Navier–Stokes system, boundary layer theory, Prandtl system, hydrodynamics of non-Newtonian fluids, magnetohydrodynamics.

Subject:

The existence of a solution of a system of boundary layer equations that arise in the hydrodynamics of a non-Newtonian liquid is proved. It is established that the rate of propagation of the perturbations is finite under particular conditions. The existence of the solution of basic boundary problems and initial-boundary value problems for systems of magnetohydrodynamics of pseudoplastic and dilatantous media is proved. It is solved some free boundary problems of non-Newtonian and conducting fluids. The method of homogenization for the boundary layer equations with a rapidly oscillating parameter is applied.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1968 (department of differential equations). Ph. D. thesis was defended in 1973. D. Sci. thesis was defended in 1999. A list of my works contains more than 127 titles.
Soros Associate Professor — 1997 and 1999. Soros Professor — 2001.
   
Main publications:
  1. Samokhin V. N., “Obobschennye resheniya zadachi o prodolzhenii pogranichnogo sloya psevdoplasticheskoi zhidkosti”, Trudy sem. im. I. G. Petrovskogo, 3, 1978, 161–175  mathscinet  zmath
  2. Samokhin V. N., “O sisteme uravnenii magnitogidrodinamicheskogo pogranichnogo sloya dilatantnoi sredy”, Differents. uravneniya, 29:2 (1993), 328–336  mathscinet  zmath
  3. Samokhin V. N., “Suschestvovanie resheniya odnoi modifikatsii sistemy uravnenii magnitnoi gidrodinamiki”, Matem. sb., 182:3 (1991), 395–407  mathnet  mathscinet  zmath
  4. Samokhin V. N., “Ob odnom klasse uravnenii, obobschayuschikh uravneniya politropnoi filtratsii”, Differents. uravneniya, 32:5 (1996), 643–651  mathscinet  zmath
  5. Oleinik O. A., Samokhin V. N., Mathematical models in boundary layer theory, Chapman & Hall / CRC, Boca Raton, FL, 1999  mathscinet  zmath

https://www.mathnet.ru/eng/person17631
List of publications on Google Scholar
List of publications on ZentralBlatt
https://elibrary.ru/author_items.asp?spin=1855-8853
https://orcid.org/0000-0001-6441-5166
https://www.webofscience.com/wos/author/record/A-9176-2016
https://www.scopus.com/authid/detail.url?authorId=670 163 3221

Publications in Math-Net.Ru Citations
2024
1. V. N. Samokhin, G. A. Chechkin, “Nonclassical problems of the mathematical theory of hydrodynamic boundary layer”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1,  11–20  mathnet  elib; Moscow University Mathematics Bulletin, 79:1 (2024), 11–21
2023
2. M. A. Kisatov, V. N. Samokhin, G. A. Chechkin, “О пограничном слое Марангони в вязкой неньютоновской среде”, Tr. Semim. im. I. G. Petrovskogo, 33 (2023),  174–195  mathnet
2022
3. M. A. Kisatov, V. N. Samokhin, G. A. Chechkin, “Erratum to: On thermal boundary layer in a viscous non-Newtonian medium”, Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022),  486  mathnet  mathscinet; Dokl. Math., 106:3 (2022), 486
4. M. A. Kisatov, V. N. Samokhin, G. A. Chechkin, “On thermal boundary layer in a viscous non-Newtonian medium”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022),  28–33  mathnet  elib; Dokl. Math., 105:1 (2022), 23–27 2
2020
5. R. R. Bulatova, V. N. Samokhin, G. A. Chechkin, “On an Unsteady Boundary Layer of a Viscous Rheologically Complex Fluid”, Trudy Mat. Inst. Steklova, 310 (2020),  40–77  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 310 (2020), 32–69  isi  scopus 2
2019
6. R. R. Bulatova, V. N. Samokhin, G. A. Chechkin, “Equations of symmetric MHD-boundary layer of viscous fluid with Ladyzhenskaya rheology law”, Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  72–90  mathnet  elib; J. Math. Sci. (N. Y.), 244:2 (2020), 158–169  scopus 2
2016
7. V. N. Samokhin, G. A. Chechkin, “Equations of boundary layer for a generalized newtonian medium near a critical point”, Tr. Semim. im. I. G. Petrovskogo, 31 (2016),  158–176  mathnet; J. Math. Sci. (N. Y.), 234:4 (2018), 485–496  scopus 11
2011
8. V. N. Samokhin, G. M. Fadeeva, G. A. Chechkin, “Equations of the boundary layer for a modified Navier-Stokes system”, Tr. Semim. im. I. G. Petrovskogo, 28 (2011),  329–361  mathnet  zmath  elib; J. Math. Sci. (N. Y.), 179:4 (2011), 557–577  scopus 21
2004
9. V. N. Samokhin, “Boundary Layer Formation in a Pseudoelastic Medium Under Gradual Acceleration”, Differ. Uravn., 40:3 (2004),  406–416  mathnet  mathscinet; Differ. Equ., 40:3 (2004), 438–450
2000
10. V. N. Samokhin, “The operator form and the solvability of magnetohydrodynamic equations for nonlinearly viscous media”, Differ. Uravn., 36:6 (2000),  816–821  mathnet  mathscinet; Differ. Equ., 36:6 (2000), 904–910 2
1997
11. V. N. Samokhin, “Equations of a magnetohydrodynamic boundary layer with diffraction conditions”, Differ. Uravn., 33:8 (1997),  1106–1113  mathnet  mathscinet; Differ. Equ., 33:8 (1997), 1113–1120 1
1996
12. V. N. Samokhin, “On a class of equations that generalize equations of polytropic filtration”, Differ. Uravn., 32:5 (1996),  643–651  mathnet  mathscinet; Differ. Equ., 32:5 (1996), 648–657
1994
13. V. N. Samokhin, “On the equations of polytropic filtration with a variable non-linearity”, Uspekhi Mat. Nauk, 49:3(297) (1994),  189–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:3 (1994), 196–197  isi 2
1993
14. V. N. Samokhin, “On a system of equations of a magnetohydrodynamic boundary layer of a dilatant medium”, Differ. Uravn., 29:2 (1993),  328–336  mathnet  mathscinet; Differ. Equ., 29:2 (1993), 270–277 1
15. V. N. Samokhin, “On the system of equations of the laminar boundary layer in the presence of injection of a non-Newtonian fluid”, Sibirsk. Mat. Zh., 34:1 (1993),  157–168  mathnet  mathscinet  zmath; Siberian Math. J., 34:1 (1993), 139–149  isi 1
1992
16. V. N. Samokhin, “On a problem with an unknown boundary in the hydrodynamics of electrically conducting media”, Uspekhi Mat. Nauk, 47:3(285) (1992),  173–174  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:3 (1992), 188–189  isi 1
17. V. N. Samokhin, “Stationary problems of the magnetohydrodynamics of non-Newtonian media”, Sibirsk. Mat. Zh., 33:4 (1992),  120–127  mathnet  mathscinet  zmath; Siberian Math. J., 33:4 (1992), 654–662  isi 8
1991
18. V. N. Samokhin, “On a system of equations in the magnetohydrodynamics of nonlinearly viscous media”, Differ. Uravn., 27:5 (1991),  886–896  mathnet  mathscinet; Differ. Equ., 27:5 (1991), 628–636 1
19. V. N. Samokhin, “Existence of a solution of a modification of a system of equations of magnetohydrodynamics”, Mat. Sb., 182:3 (1991),  395–407  mathnet  mathscinet  zmath; Math. USSR-Sb., 72:2 (1992), 373–385  isi 7
1990
20. V. N. Samokhin, “Averaging of a system of Prandtl equations”, Differ. Uravn., 26:3 (1990),  495–501  mathnet  mathscinet; Differ. Equ., 26:3 (1990), 369–374 1
1989
21. V. N. Samokhin, “The mixing layer on the boundary between flows of two fluids with different properties”, Sibirsk. Mat. Zh., 30:2 (1989),  161–166  mathnet  mathscinet  zmath; Siberian Math. J., 30:2 (1989), 298–302  isi
1987
22. V. N. Samokhin, “Generalized solutions of a system of equations of the boundary layer of dilatant fluids, and the finite rate of perturbations”, Differ. Uravn., 23:6 (1987),  1053–1061  mathnet  mathscinet
23. V. N. Samokhin, “A diffraction problem for strongly nonlinear equations”, Mat. Zametki, 42:2 (1987),  256–261  mathnet  mathscinet  zmath; Math. Notes, 42:2 (1987), 645–648  isi
1986
24. V. N. Samokhin, “On a system of boundary-layer equations of dilatant fluids”, Uspekhi Mat. Nauk, 41:5(251) (1986),  195–196  mathnet  mathscinet; Russian Math. Surveys, 41:5 (1986), 163–164  isi
1985
25. V. N. Samokhin, “Laminar mixing layer on the boundary of two flows”, Zh. Vychisl. Mat. Mat. Fiz., 25:4 (1985),  614–617  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 186–188
1982
26. V. N. Samokhin, “Asymptotic expansions for the problem of boundary layer formation”, Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982),  1260–1265  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:5 (1982), 255–261
1973
27. V. N. Samokhin, “The system of equations of a boundary layer of a pseudoplastic fluid”, Dokl. Akad. Nauk SSSR, 210:5 (1973),  1043–1046  mathnet  mathscinet
28. V. N. Samokhin, “Development of a plane-parallel symmetric boundary layer when a sudden motion arises”, Tr. Mosk. Mat. Obs., 28 (1973),  117–133  mathnet  mathscinet  zmath
1972
29. V. N. Samokhin, “Equations for the boundary layer for a pseudoplastic fluid in the neighborhood of a stopping point”, Uspekhi Mat. Nauk, 27:6(168) (1972),  249–250  mathnet  mathscinet  zmath

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