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Pukhnachev, Vladislav Vasilievich
Statistics Math-Net.Ru
Total publications: 63
Scientific articles: 57
Presentations: 2

Number of views:
This page:5503
Abstract pages:12984
Full texts:4603
References:1067
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1974)
Speciality: 01.02.05 (Mechanics of fluids, gases and plasmas)
Birth date: 29.03.1939
E-mail: ,
Keywords: free boundary problems, dynamics of viscous liquid, symmetries in differential equations, singular perturbated equations, hydrodynamics and heattransfer in microgravity conditions.
   
Main publications:
  • Pukhnachov V. V. On a problem of viscous strip deformation with a free boundary // C. R. Acad. Sci. Paris, 1999, 328(1), 357–362.

https://www.mathnet.ru/eng/person17859
https://ru.wikipedia.org/wiki/Pukhnachev_Vladislav_Vasilevich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/198011
https://elibrary.ru/author_items.asp?authorid=141
https://www.researchgate.net/profile/V-Pukhnachev

Publications in Math-Net.Ru Citations
2024
1. V. V. Pukhnachev, “Corkscrew flows and their two-dimensional analogs”, Prikl. Mekh. Tekh. Fiz., 65:5 (2024),  169–177  mathnet
2023
2. A. G. Petrova, V. V. Pukhnachev, O. A. Frolovskaya, “Exact Solutions of Second-Grade Fluid Equations”, Trudy Mat. Inst. Steklova, 322 (2023),  180–194  mathnet; Proc. Steklov Inst. Math., 322 (2023), 173–187  scopus 1
2022
3. E. N. Zhuravleva, V. V. Pukhnachov, “On rotation of a fluid layer”, Prikl. Mekh. Tekh. Fiz., 63:6 (2022),  96–103  mathnet  mathscinet  elib; J. Appl. Mech. Tech. Phys., 63:6 (2022), 988–994
4. V. V. Pukhnachov, “Strip deformation problem in three models of hydrodynamics”, TMF, 211:2 (2022),  306–318  mathnet  mathscinet; Theoret. and Math. Phys., 211:2 (2022), 701–711  scopus 1
2019
5. V. V. Pukhnachev, “Problem of a point source”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019),  19–31  mathnet  elib; J. Appl. Mech. Tech. Phys., 60:2 (2019), 200–210
2018
6. V. V. Pukhnachev, O. A. Frolovskaya, “On the Voitkunskii–Amfilokhiev–Pavlovskii model of motion of aqueous polymer solutions”, Trudy Mat. Inst. Steklova, 300 (2018),  176–189  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 300 (2018), 168–181  isi  scopus 10
2017
7. V. V. Pukhnachov, “Dirichlet Problem for the Stokes Equation”, Mat. Zametki, 101:1 (2017),  110–115  mathnet  mathscinet  elib; Math. Notes, 101:1 (2017), 132–136  isi  scopus 1
8. S. V. Meleshko, A. G. Petrova, V. V. Pukhnachev, “Characteristic properties of the system of equations of an incompressible viscoelastic Maxwell medium”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017),  44–50  mathnet  elib; J. Appl. Mech. Tech. Phys., 58:5 (2017), 794–800 5
9. V. B. Bazarova, V. V. Pukhnachev, “Exact solutions of precursor film equation”, Sib. J. Pure and Appl. Math., 17:1 (2017),  17–35  mathnet; J. Math. Sci., 231:2 (2018), 124–142 1
2015
10. V. V. Pukhnachev, “Three dimensional flux problem for the Navier–Stokes equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015),  95–104  mathnet  elib 2
2014
11. V. V. Pukhnachev, “Point vortex in a viscous incompressible fluid”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014),  180–187  mathnet  elib; J. Appl. Mech. Tech. Phys., 55:2 (2014), 345–351 1
12. M. V. Korobkov, K. Pileckas, V. V. Pukhnachov, R. Russo, “The flux problem for the Navier–Stokes equations”, Uspekhi Mat. Nauk, 69:6(420) (2014),  115–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:6 (2014), 1065–1122  isi  scopus 39
2013
13. O. A. Frolovskaya, O. V. Admaev, V. V. Pukhnachev, “Special case of the Cahn-Hilliard Equation”, Sib. Èlektron. Mat. Izv., 10 (2013),  324–334  mathnet 3
14. V. Yu. Lyapidevskii, V. V. Pukhnachev, “Hyperbolic submodels of an incompressible viscoelastic Maxwell medium”, Trudy Mat. Inst. Steklova, 281 (2013),  84–97  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 281 (2013), 77–90  isi  elib 7
2010
15. V. V. Pukhnachev, “Nonlinear diffusion and exact solutions to the Navier–Stokes equations”, Bulletin of Irkutsk State University. Series Mathematics, 3:1 (2010),  61–69  mathnet
16. V. V. Pukhnachev, “Mathematical model of an incompressible viscoelastic Maxwell medium”, Prikl. Mekh. Tekh. Fiz., 51:4 (2010),  116–126  mathnet  elib; J. Appl. Mech. Tech. Phys., 51:4 (2010), 546–554 11
17. V. V. Pukhnachev, T. P. Pukhnacheva, “Couette Problem for Kelvin–Voigt Medium”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010),  94–109  mathnet; J. Math. Sci., 186:3 (2012), 495–510 3
2009
18. V. V. Pukhnachev, “Exact solutions of the equations of motion for an incompressible viscoelastic Maxwell medium”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009),  16–23  mathnet  elib; J. Appl. Mech. Tech. Phys., 50:2 (2009), 181–187 10
2008
19. E. A. Karabut, V. V. Pukhnachev, “Steady-state conditions of a nonisothermal film with a heat-insulated free boundary”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008),  59–73  mathnet  elib; J. Appl. Mech. Tech. Phys., 49:4 (2008), 568–579 1
20. V. S. Belonosov, V. V. Pukhnachov, “Boundary layer equations in the problem of axially symmetric jet flow”, Zap. Nauchn. Sem. POMI, 362 (2008),  48–63  mathnet  zmath  elib; J. Math. Sci. (N. Y.), 159:4 (2009), 411–419  elib  scopus
2007
21. V. V. Pukhnachev, “Equilibrium of a free nonisothermal liquid film”, Prikl. Mekh. Tekh. Fiz., 48:3 (2007),  16–29  mathnet  elib; J. Appl. Mech. Tech. Phys., 48:3 (2007), 310–321 3
2005
22. V. V. Pukhnachov, “On the equation of a rotating film”, Sibirsk. Mat. Zh., 46:5 (2005),  1138–1151  mathnet  mathscinet  zmath; Siberian Math. J., 46:5 (2005), 913–924  isi 6
2004
23. V. V. Pukhnachev, “Integrals of motion of an incompressible fluid occupying the entire space”, Prikl. Mekh. Tekh. Fiz., 45:2 (2004),  22–27  mathnet  elib; J. Appl. Mech. Tech. Phys., 45:2 (2004), 167–171 2
2003
24. V. V. Pukhnachev, “Exact solutions of the hydrodynamic equations derived from partially invariant solutions”, Prikl. Mekh. Tekh. Fiz., 44:3 (2003),  18–25  mathnet  elib; J. Appl. Mech. Tech. Phys., 44:3 (2003), 317–323 7
25. V. V. Pukhnachov, “Capillary/gravity film flows on the surface of a rotating cylinder”, Zap. Nauchn. Sem. POMI, 306 (2003),  165–185  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 130:4 (2005), 4871–4883 12
2002
26. V. V. Pukhnachov, “Quasistationary approximation in the rotating ring problem”, Sibirsk. Mat. Zh., 43:3 (2002),  652–677  mathnet  mathscinet  zmath; Siberian Math. J., 43:3 (2002), 525–548  isi 1
27. V. V. Pukhnachov, “Hierarchy of models in the theory of convection”, Zap. Nauchn. Sem. POMI, 288 (2002),  152–177  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4607–4620 7
1999
28. V. V. Pukhnachev, I. B. Semenova, “Model problem of instantaneous motion of a three-phase contact line”, Prikl. Mekh. Tekh. Fiz., 40:4 (1999),  51–61  mathnet  elib; J. Appl. Mech. Tech. Phys., 40:4 (1999), 594–603 3
29. A. G. Petrova, V. V. Pukhnachev, “One-dimensional motion of an emulsion with solidification”, Prikl. Mekh. Tekh. Fiz., 40:3 (1999),  128–136  mathnet  elib; J. Appl. Mech. Tech. Phys., 40:3 (1999), 471–478 2
30. S. V. Meleshko, V. V. Pukhnachev, “One class of partially invariant solutions of the Navier–Stokes equations”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999),  24–33  mathnet  elib; J. Appl. Mech. Tech. Phys., 40:2 (1999), 208–216 34
1996
31. V. V. Pukhnachov, “Solvability of initial boundary value problem in non-standard model of convection”, Zap. Nauchn. Sem. POMI, 233 (1996),  217–226  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 93:5 (1999), 772–778 1
1995
32. V. V. Pukhnachev, “Exact multidimensional solutions of the nonlinear diffusion equation”, Prikl. Mekh. Tekh. Fiz., 36:2 (1995),  23–31  mathnet  elib; J. Appl. Mech. Tech. Phys., 36:2 (1995), 169–176 13
1994
33. V. V. Pukhnachov, “Reciprocal transformations for the radial nonlinear heat equations”, Zap. Nauchn. Sem. POMI, 213 (1994),  151–163  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 84:1 (1997), 911–918 1
1990
34. C. Baiocchi, V. V. Pukhnachev, “Problems with one-sided constraints for Navier–Stokes equations and the dynamic contact angle”, Prikl. Mekh. Tekh. Fiz., 31:2 (1990),  27–40  mathnet; J. Appl. Mech. Tech. Phys., 31:2 (1990), 185–197 9
1989
35. V. V. Pukhnachev, “Asymptotics of a velocity field at considerable distances from a self-propelled body”, Prikl. Mekh. Tekh. Fiz., 30:2 (1989),  52–60  mathnet; J. Appl. Mech. Tech. Phys., 30:2 (1989), 215–222 3
1987
36. V. V. Pukhnachov, “Transformations of equivalence and the hidden symmetry of evolution equations”, Dokl. Akad. Nauk SSSR, 294:3 (1987),  535–538  mathnet  mathscinet  zmath 11
1985
37. V. V. Pukhnachov, S. I. Shmarev, “A multi-dimensional self-similar Stefan problem in linearized statement”, Differ. Uravn., 21:9 (1985),  1641–1642  mathnet  zmath
1984
38. V. V. Pukhnachov, “Group analysis of nonstationary Marangoni boundary layer equations”, Dokl. Akad. Nauk SSSR, 279:5 (1984),  1061–1064  mathnet  mathscinet  zmath 1
1980
39. V. V. Pukhnachov, “Generation of a singularity in the solution of a Stefan-type problem”, Differ. Uravn., 16:3 (1980),  492–500  mathnet  mathscinet  zmath
40. O. V. Voinov, V. V. Pukhnachev, “Thermocapillary motion in a gas-liquid mixture”, Prikl. Mekh. Tekh. Fiz., 21:5 (1980),  38–45  mathnet; J. Appl. Mech. Tech. Phys., 21:5 (1980), 606–611 1
1979
41. V. K. Andreev, V. V. Pukhnachev, “Motion of a finite mass of fluid”, Prikl. Mekh. Tekh. Fiz., 20:2 (1979),  25–43  mathnet; J. Appl. Mech. Tech. Phys., 20:2 (1979), 144–157 2
1978
42. V. V. Pukhnachov, “On the stationary motion of a finite mass of fluid”, Dokl. Akad. Nauk SSSR, 239:5 (1978),  1067–1070  mathnet
1977
43. V. V. Pukhnachev, “Motion of a liquid film on the surface of a rotating cylinder in a gravitational field”, Prikl. Mekh. Tekh. Fiz., 18:3 (1977),  78–88  mathnet; J. Appl. Mech. Tech. Phys., 18:3 (1977), 344–351 41
1975
44. V. V. Pukhnachev, “On the theory of rolling waves”, Prikl. Mekh. Tekh. Fiz., 16:5 (1975),  46–58  mathnet; J. Appl. Mech. Tech. Phys., 16:5 (1975), 703–712 5
1973
45. V. V. Pukhnachov, “Von Mises variables for problems with a free boundary for the Navier–Stokes equations”, Dokl. Akad. Nauk SSSR, 210:2 (1973),  298–301  mathnet  mathscinet  zmath
46. V. V. Pukhnachev, “Branching of rotationally symmetric solutions describing flows of a viscous liquid with a free surface”, Prikl. Mekh. Tekh. Fiz., 14:2 (1973),  127–134  mathnet; J. Appl. Mech. Tech. Phys., 14:2 (1973), 253–258 7
1972
47. V. V. Pukhnachov, “Invariant solutions of the Navier–Stokes equations describing motions with a free boundary”, Dokl. Akad. Nauk SSSR, 202:2 (1972),  302–305  mathnet  zmath 2
48. V. V. Pukhnachev, “Two methods of approximate description of steady-state motions of a viscous incompressible liquid with a free boundary”, Prikl. Mekh. Tekh. Fiz., 13:5 (1972),  126–134  mathnet; J. Appl. Mech. Tech. Phys., 13:5 (1972), 704–711 1
49. V. V. Pukhnachev, “A plane steady-state free-boundary problem for the Navier–Stokes equations”, Prikl. Mekh. Tekh. Fiz., 13:3 (1972),  91–102  mathnet; J. Appl. Mech. Tech. Phys., 13:3 (1972), 340–349 9
1971
50. V. V. Pukhnachov, “The asymptotic behavior as $t\rightarrow \infty $ of a positive solution of a boundary value problem for a model equation of chemical kinetics”, Differ. Uravn., 7:1 (1971),  109–114  mathnet  mathscinet  zmath 1
51. V. V. Pukhnachev, “Small perturbations of plane unsteady motion of an ideal incompressible fluid with a free boundary in the shape of an ellipse”, Prikl. Mekh. Tekh. Fiz., 12:4 (1971),  53–62  mathnet; J. Appl. Mech. Tech. Phys., 12:4 (1971), 530–538
1969
52. V. V. Pukhnachov, “Asymptotic properties of the axisymmetric flow solution to the Navier–Stokes equations”, Dokl. Akad. Nauk SSSR, 186:2 (1969),  283–285  mathnet  zmath
1968
53. V. V. Pukhnachov, “Asymptotics of the solutions of a linear ordinary second order differential equation with transition point dependent on a parameter”, Differ. Uravn., 4:3 (1968),  429–438  mathnet  mathscinet  zmath
1966
54. V. V. Pukhnachov, “On an equation in which the derivative terms contain two small parameters”, Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  178–183  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:1 (1966), 256–265
1965
55. V. V. Pukhnachev, “Stability analysis of a steady plane detonation wave”, Prikl. Mekh. Tekh. Fiz., 6:4 (1965),  79–85  mathnet; J. Appl. Mech. Tech. Phys., 6:4 (1965), 50–53 1
1963
56. V. V. Pukhnachov, “Stability of Chapmen–Juge detonation”, Dokl. Akad. Nauk SSSR, 149:4 (1963),  798–801  mathnet  zmath
57. V. V. Pukhnachev, “Об устойчивости детонации Чепмена–Жуге”, Prikl. Mekh. Tekh. Fiz., 4:6 (1963),  66–73  mathnet
2023
58. G. I. Bizhanova, I. V. Denisova, A. I. Nazarov, K. I. Pileckas, V. V. Pukhnachev, S. I. Repin, J.-F. Rodrigues, G. A. Seregin, N. N. Uratseva, E. V. Frolova, “On the 90th birthday of Vsevolod Alekseevich Solonnikov”, Uspekhi Mat. Nauk, 78:5(473) (2023),  187–198  mathnet  mathscinet; Russian Math. Surveys, 78:5 (2023), 971–981  isi
59. V. V. Pukhnachev, A. T. Il'ichev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii: On the occasion of his 90th birthday”, Trudy Mat. Inst. Steklova, 322 (2023),  7–9  mathnet; Proc. Steklov Inst. Math., 322 (2023), 1–3  scopus
2020
60. A. I. Dreglea, V. K. Gorbunov, A. V. Keller, V. V. Pukhnachev, R. Ju. Leontiev, O. A. Romanova, D. N. Sidorov, V. S. Sizikov, G. A. Sviridyuk, A. A. Zamyshlyaeva, S. A. Zagrebina, “Nikolai Aleksandrovich Sidorov (on 80th birthday)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020),  119–121  mathnet
2015
61. V. N. Belykh, K. V. Brushlinskii, V. L. Vaskevich, S. P. Kiselev, A. N. Kraiko, A. G. Kulikovskii, V. I. Mali, V. V. Pukhnachov, E. I. Romensky, V. S. Ryaben'kii, “Sergei Konstantinovich Godunov has turned 85 years old”, Uspekhi Mat. Nauk, 70:3(423) (2015),  183–207  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 70:3 (2015), 561–590  isi  scopus
62. B. V. Loginov, V. V. Pukhnachev, G. A. Sviridyuk, A. V. Keller, S. A. Zagrebina, O. A. Romanova, D. N. Sidorov, A. Dreglea, R. Yu. Leontiev, “Nikolay Aleksandrovich Sidorov (to the 75th Anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015),  143–148  mathnet  elib
2012
63. M. S. Agranovich, L. A. Aizenberg, G. L. Alfimov, M. I. Vishik, T. Voronov, A. V. Karabegov, M. V. Karasev, A. A. Komech, V. P. Maslov, V. V. Pukhnachov, D. E. Tamarkin, N. N. Tarkhanov, B. L. Tsygan, M. A. Shubin, “Boris Vasil'evich Fedosov (obituary)”, Uspekhi Mat. Nauk, 67:1(403) (2012),  169–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:1 (2012), 167–174  isi 1

Presentations in Math-Net.Ru
1. Точные решения уравнений жидкости второго порядка
A. G. Petrova, V. V. Pukhnachev, O. A. Frolovskaya
International Conference "Mathematical Methods of Mechanics" dedicated to the anniversary of academician A. G. Kulikovskii
March 20, 2023 11:50   
2. Гиперболические подмодели несжимаемой вязкоупругой среды Максвелла
V. V. Pukhnachov, V. U. Lyapidevskii
International conference "Contemporary Problems of Mechanics" dedicated to the 80th anniversary of academician A. G. Kulikovskii
March 18, 2013 14:15   

Organisations
 
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