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Rykov Vladimir Alekseevich

Publications in Math-Net.Ru

  1. On the simulation of a rarefied plasma jet on the basis of kinetic equations

    Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023),  1984–1992
  2. Numerical method for solving a system of kinetic equations describing the behavior of a nonideal gas

    Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1534–1545
  3. Construction of divergence forms of conservation equations for a diatomic gas using a model kinetic equation

    Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1543–1552
  4. Construction of a system of kinetic equations for a nonideal gas at temperatures on the order of critical values

    TVT, 55:1 (2017),  31–43
  5. Numerical study of unsteady rarefied diatomic gas flows in a plane microchannel

    Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1332–1344
  6. Numerical study of Couette flow based on a nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases

    Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014),  686–696
  7. Numerical study of the Couette flow of a diatomic rarefied gas

    Zh. Vychisl. Mat. Mat. Fiz., 53:11 (2013),  1856–1868
  8. Computation of rarefied diatomic gas flows through a plane microchannel

    Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012),  720–732
  9. Nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases

    Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011),  2084–2095
  10. Kinetic model of the Boltzmann equation for a diatomic gas with rotational degrees of freedom

    Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2233–2245
  11. A kinetic model of the Boltzmann equation for the power-law interaction potential between molecules

    Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  544–556
  12. Kinetic model of the Boltzmann equation with limiting gas flow regimes at low Knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008),  1294–1308
  13. Conservative numerical method for solving the averaged Boltzmann equation

    Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007),  1949–1957
  14. Models of a linearized Boltzmann collision integral

    Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007),  1029–1044
  15. Numerical study of the transverse supersonic flow of a diatomic rarefied gas past a plate

    Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007),  140–154
  16. Calculation of the flow of rarefied gas around a circular cylinder at low Knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005),  1304–1320
  17. Numerical solution method of axially simmetric problems for the Boltzmann equation

    Mat. Model., 16:6 (2004),  65–68
  18. Numerical solution of the Boltzmann equation by the symmetric splitting method

    Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  601–613
  19. Splitting method of the second order of accuracy for the Boltzmann equation

    Mat. Model., 14:8 (2002),  96–101
  20. Second-order accurate numerical method for solving Boltzmann's equation at low Knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  559–568
  21. Numerical method for solution of boltzmann equation at low knudsen

    Mat. Model., 12:6 (2000),  109–114
  22. A method for computing axially symmetric rotating flows of a rarefied gas at small Knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 38:11 (1998),  1936–1942
  23. A numerical method for calculating axisymmetric rarefied gas flows

    Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1391–1403
  24. Application of variational principles to the calculation of the slip coefficient of gas

    Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  230–238
  25. Calculation of plane flows of a rarefied gas at low Knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 36:12 (1996),  135–150
  26. Development of a rarefied gas flow between parallel plates initiated by a pressure discontinuity

    Dokl. Akad. Nauk, 343:4 (1995),  482–485
  27. Investigation of the unsteady vortex motions of a viscous incompressible fluid in the cavity of a rotating body

    Zh. Vychisl. Mat. Mat. Fiz., 34:3 (1994),  415–431
  28. A conservative method for the numerical solution of the kinetic equation at low Knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 34:2 (1994),  246–266
  29. Vortical motion of viscous incompressible fluid in cylindrical cavity of a body rotating with constant acceleration

    Dokl. Akad. Nauk, 330:2 (1993),  180–184
  30. Variational principles for the linear Boltzmann equation

    Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992),  1803–1813
  31. Variational principles of the linear kinetic theory of a gas

    Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990),  570–585
  32. The construction of a complete set of divergent forms of the conservation equations based on the Boltzmann equations

    Zh. Vychisl. Mat. Mat. Fiz., 29:2 (1989),  251–262
  33. Three-dimensional flow of a rarefied gas past a conical body

    Zh. Vychisl. Mat. Mat. Fiz., 29:1 (1989),  110–117
  34. Monatomic rarefied gas flow over a circular rotating cylinder

    Zh. Vychisl. Mat. Mat. Fiz., 27:6 (1987),  898–904
  35. A method of calculating subsonic flows of a rarefied gas at low Knudsen numbers

    Dokl. Akad. Nauk SSSR, 291:4 (1986),  793–797
  36. Macroscopic conservation laws in the kinetic theory of a monatomic gas and their consequences

    Zh. Vychisl. Mat. Mat. Fiz., 25:12 (1985),  1902–1906
  37. The $H$-theorem and Onsager principle for the stationary Boltzmann's equation

    Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983),  954–964
  38. A description of steady gas flows on the basis of an even distribution function

    Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  244–246
  39. Numerical investigations in rarefied gas dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 20:5 (1980),  1266–1283
  40. The Chapman–Enskog method for reacting gas mixtures with different velocities and temperatures

    Zh. Vychisl. Mat. Mat. Fiz., 18:5 (1978),  1230–1242
  41. Recondensation monoatomic gas for small Knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  709–717
  42. Extension of the Chapman–Enskog method to mixtures of reacting gases

    Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978),  167–182
  43. Chapman–Enskog method for a mixture of gases

    Dokl. Akad. Nauk SSSR, 233:1 (1977),  49–51
  44. Diatomic gas flow around a sphere based on kinetic equations

    Dokl. Akad. Nauk SSSR, 227:1 (1976),  60–62
  45. Convergence to the centre and reflection of a spherical wave in a gas

    Zh. Vychisl. Mat. Mat. Fiz., 16:5 (1976),  1209–1216
  46. Rarefied gas flow from a sperical source for small Knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976),  738–749
  47. Solution by an iterative method of stationary problems of the kinetic theory of gases at moderate and low knudsen numbers

    Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975),  172–182
  48. Reflection of a shock wave from a rigid wall

    Zh. Vychisl. Mat. Mat. Fiz., 13:5 (1973),  1288–1297

© Steklov Math. Inst. of RAS, 2025