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Latyshev Anatolii Vasil'evich

Publications in Math-Net.Ru

  1. Analytical solution of a plasma oscillation problem in a half-space subject to diffusive boundary conditions

    Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1564–1582
  2. The behavior of plasma with an arbitrary degree of degeneracy of electron gas in the conductive layer

    TMF, 192:3 (2017),  506–522
  3. The longitudinal electric current in maxwellian collisional plasma generated by a transverse electromagnetic wave

    TVT, 55:5 (2017),  649–655
  4. Thirteen-moments model kinetic equation and its parameters

    Mat. Model., 28:8 (2016),  3–12
  5. Longitudinal electric current generated by a transverse electromagnetic field in a collisional plasma

    TMF, 187:1 (2016),  127–138
  6. Generation of a longitudinal current by a transverse electromagnetic field in collisional degenerate plasma

    Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016),  1667–1676
  7. Magnetic susceptibility and Landau diamagnetism of a quantum collisional degenerate plasma

    TMF, 183:3 (2015),  477–485
  8. Longitudinal electric conductivity in a quantum plasma with a variable collision frequency in the framework of the Mermin approach

    TMF, 178:1 (2014),  147–160
  9. Longitudinal dielectric permeability of a quantum degenerate plasma with a constant collisional frequency

    TVT, 52:1 (2014),  136–138
  10. Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach

    TMF, 175:1 (2013),  132–143
  11. Analytical solution of the second Stokes problem for rarefied gas with Cercignani boundary conditions

    Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013),  459–474
  12. A new method for solving the boundary value problem in kinetic theory

    Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012),  539–552
  13. Longitudinal permittivity of a quantum degenerate collisional plasma

    TMF, 169:3 (2011),  431–443
  14. Analytical solution of the problem of sphere rotation in a rarefied molecular gas

    Prikl. Mekh. Tekh. Fiz., 51:6 (2010),  42–48
  15. An analytic solution of the Vlasov–Maxwell equations in the skin effect problem with electron-electron collisions

    Sib. Zh. Ind. Mat., 13:3 (2010),  76–85
  16. Rarefied gas flow near a rotating cylinder

    Sib. Zh. Ind. Mat., 13:2 (2010),  19–29
  17. Temperature jump in degenerate quantum gases with the Bogoliubov excitation energy and in the presence of the Bose–Einstein condensate

    TMF, 165:1 (2010),  145–159
  18. Temperature jump in degenerate quantum gases in the presence of a Bose–Einstein condensate

    TMF, 162:1 (2010),  112–124
  19. Reflection of plasma waves from a boundary with specular accommodative boundary conditions

    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1506–1519
  20. The electric field in the Smoluchowski problem in a metal with an arbitrary specular reflection coefficient

    Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  503–516
  21. Аналитическое решение системы уравнений Власова–Пуассона в задаче о скин-эффекте

    Sib. Zh. Ind. Mat., 12:1 (2009),  3–10
  22. Smoluchowski problem for metals with mirror-diffusive boundary conditions

    TMF, 161:1 (2009),  95–108
  23. Solution of the skin effect problem with an arbitrary coefficient of specular reflection

    Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009),  137–151
  24. The Smoluchowski problem for molecular gases with variable frequency of collisions with regard to the accommodation of forward and rotary energy

    Mat. Model., 20:11 (2008),  115–128
  25. Smolukhowski problem for degenerate Bose gases

    TMF, 155:3 (2008),  498–511
  26. Behavior of a plasma with the collision rate proportional to the electron velocity in an external electric field

    TMF, 153:3 (2007),  409–421
  27. Reflection of plasma waves from a plane boundary

    TMF, 150:3 (2007),  498–510
  28. Reflection and transmission of plasma waves at the interface of crystallites

    Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007),  1229–1247
  29. Nondegenerate plasma with a diffusive boundary condition in a high-frequency electric field near resonance

    Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007),  121–128
  30. Effect of temperature on slip coefficients of molecular gases

    Prikl. Mekh. Tekh. Fiz., 47:1 (2006),  58–65
  31. Degenerate plasma in a half-space under an external electric field

    TMF, 147:3 (2006),  487–502
  32. Skin effect at a finite temperature with a diffusive condition on the boundary of the half-space of the conducting medium

    Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006),  148–160
  33. Calculation of the slip rate of a rarefied gas on the basis of the Williams equation

    Sib. Zh. Ind. Mat., 8:1 (2005),  88–100
  34. The Method of Singular Equations in Boundary Value Problems in Kinetic Theory

    TMF, 143:3 (2005),  437–454
  35. Smolukhovsky problem for electrons in a metal

    TMF, 142:1 (2005),  93–111
  36. Description of the skin effect in a metal using the two-parameter kinetic equation: diffusive boundary conditions

    Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005),  677–689
  37. Analytical solution of boundary-value problems for the ellipsoidal statistical equation

    Prikl. Mekh. Tekh. Fiz., 45:5 (2004),  13–25
  38. Calculation of the slip velocity of a rarefied gas on a solid spherical surface with allowance for accommodation coefficients

    Prikl. Mekh. Tekh. Fiz., 45:1 (2004),  23–28
  39. Calculation of the velocity of second-order thermal slip using the model kinetic equation with a variable collision frequency

    TVT, 42:1 (2004),  132–136
  40. An analytical description of the skin effect in a metal by using a two-parameter kinetic equation

    Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004),  1861–1872
  41. A method of solving boundary value problems for kinetic equations

    Zh. Vychisl. Mat. Mat. Fiz., 44:6 (2004),  1107–1118
  42. Solution of an ellipsoidal statistical model in the problem on thermal creep of a rarefied gas along a spherical surface

    Mat. Model., 15:8 (2003),  118–128
  43. Kinetic processes in quantized Bose-gases and analytical solution of boundary value problems

    Mat. Model., 15:5 (2003),  80–94
  44. Calculation of the rate of creep of a rarefied gas caused by the nonuniform distribution of temperature in a Knudsen layer

    Sib. Zh. Ind. Mat., 6:1 (2003),  60–71
  45. Kinetic Equation for Quantum Fermi Gases and the Analytic Solution of Boundary Value Problems

    TMF, 134:2 (2003),  310–324
  46. The boundary-value problem for the equations of radiation transfer of polarized light

    Fundam. Prikl. Mat., 8:1 (2002),  97–115
  47. Rarefied gas flow in a channel with specular-diffuse boundary conditions for arbitrary Knudsen numbers. Onsager relations

    Prikl. Mekh. Tekh. Fiz., 43:4 (2002),  98–105
  48. Application of the Case method in the problem of the thermal slip of a rarefied gas along a solid spherical surface

    Sib. Zh. Ind. Mat., 5:3 (2002),  103–114
  49. An analytic solution of a general boundary value problem for the BKW-equation

    Vladikavkaz. Mat. Zh., 4:4 (2002),  33–38
  50. Boundary value problems for an ellipsoidally statistical equation

    Vladikavkaz. Mat. Zh., 4:4 (2002),  19–32
  51. The canonical matrix of the vector Riemann–Hilbert boundary value problem and its application to boundary value problems in kinetic theory

    Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002),  885–895
  52. Analytical calculation of the parameters of a molecular gas on a surface in the Smoluchowski problem

    Prikl. Mekh. Tekh. Fiz., 42:3 (2001),  91–100
  53. Boundary Problems for a Quantum Fermi Gas

    TMF, 129:3 (2001),  491–502
  54. Electron plasma in a metal half-space in an alternating electric field

    Zh. Vychisl. Mat. Mat. Fiz., 41:8 (2001),  1229–1241
  55. Application of the Case method in the analytic solution of a generalized problem of skin effect in a metal

    Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999),  989–1005
  56. Nonstationary boundary problem for model kinetic equations at critical parameters

    TMF, 116:2 (1998),  305–320
  57. A boundary value problem for the radiative transfer equation with combined Rayleigh and isotropic scattering

    Zh. Vychisl. Mat. Mat. Fiz., 38:4 (1998),  638–650
  58. Boundary-value problem for the kinetic equation in a layer with mirror boundary conditions

    Prikl. Mekh. Tekh. Fiz., 38:6 (1997),  32–40
  59. Construction of the model transport equation of massless Bose gas and its analytic solution

    TMF, 111:3 (1997),  462–472
  60. The Kramers problem for the ellipsoidal-statistical Boltzmann equation with frequency proportional to the velocity of molecules

    Zh. Vychisl. Mat. Mat. Fiz., 37:4 (1997),  483–493
  61. Analytic solution to the problem of the behavior of a collisional plasma in a half-space in an external alternating electric field

    TMF, 103:2 (1995),  299–311
  62. The vector Riemann–Hilbert boundary value problem in boundary value problems of the scattering of polarized light

    Zh. Vychisl. Mat. Mat. Fiz., 35:7 (1995),  1108–1127
  63. Theory and accurate solutions of the problem of the isothermal slip of a medium-density binary gas

    Zh. Vychisl. Mat. Mat. Fiz., 35:4 (1995),  580–594
  64. Analytical solution of the heat-slip problem for a moderate dense gas

    Mat. Model., 6:11 (1994),  41–48
  65. The solution of boundary-value problems for the equations of radiation transfer

    Zh. Vychisl. Mat. Mat. Fiz., 34:2 (1994),  234–245
  66. Analytical solution of the one-dimensional problem of moderately strong evaporation (and condensation) in a half-space

    Prikl. Mekh. Tekh. Fiz., 34:1 (1993),  102–108
  67. Analytical solution of the vector model kinetic equations with constant kernel and their applications

    TMF, 97:2 (1993),  283–303
  68. Analytic solution to the problem of the temperature jump in a gas with rotational degrees of freedom

    TMF, 95:3 (1993),  530–540
  69. Analytic solution of a problem on the resistance of the interface between crystallites

    Zh. Vychisl. Mat. Mat. Fiz., 33:4 (1993),  600–610
  70. Exact solutions of the theory of the anomalous skin effect for a layer. Specular boundary conditions

    Zh. Vychisl. Mat. Mat. Fiz., 33:2 (1993),  259–270
  71. Analytical solution of model Boltzmann BGK-equation in temperature jump problem with energy accomodation

    Mat. Model., 4:10 (1992),  41–46
  72. Analytic solution of the nonhomogeneous linear kinetic equation in the heat slip flow problem

    Mat. Model., 4:4 (1992),  55–62
  73. Analytic solution of boundary-value problems for nonstationary model kinetic equations

    TMF, 92:1 (1992),  127–138
  74. Exact solution to the behavior of the electron plasma in a metal layer in an alternating electric field

    TMF, 90:2 (1992),  179–189
  75. Analytic solution of slip problems for a binary gas

    TMF, 86:3 (1991),  402–419
  76. The theory and accurate solutions of problems of the slip of a binary gas along a plane surface

    Zh. Vychisl. Mat. Mat. Fiz., 31:8 (1991),  1201–1210
  77. Analytic solution of the Boltzmann equation with a collision operator of mixed type

    Zh. Vychisl. Mat. Mat. Fiz., 31:3 (1991),  436–447
  78. Exact solution of the weakly evaporation problem for the Boltzmann equation with BGK operator collision

    Mat. Model., 2:6 (1990),  55–63
  79. Analytic aspects of solution of model kinetic equations

    TMF, 85:3 (1990),  428–442
  80. Integral equations of convolution type in boundary value problems of the kinetic theory of gases

    Dokl. Akad. Nauk SSSR, 284:2 (1985),  331–333

  81. Khadzhumar Petrovich Dzebisov (on the occasion of his sixtieth birthday)

    Vladikavkaz. Mat. Zh., 4:4 (2002),  5–7

© Steklov Math. Inst. of RAS, 2025