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Yushkanov Aleksandr Alekseevich

Publications in Math-Net.Ru

  1. Transverse electrical conductivity and dielectric constant of a polycrystalline metal

    Zhurnal Tekhnicheskoi Fiziki, 91:6 (2021),  943–947
  2. High-frequency magnetotransport in a thin metal layer with variable specularity coefficients of its boundaries

    Zhurnal Tekhnicheskoi Fiziki, 90:12 (2020),  2002–2012
  3. Electric field near the surface of a plasma with an arbitrary degree of degeneracy as a response to an external alternating electric field

    TMF, 204:1 (2020),  76–94
  4. Self-induction of a fine cylindrical metallic wire versus a mechanism of electron surface scattering

    Zhurnal Tekhnicheskoi Fiziki, 89:5 (2019),  643–645
  5. Interaction of an electromagnetic $H$-wave with a thin metal film on a dielectric substrate in the case of an anisotropic metal Fermi surface

    Optics and Spectroscopy, 127:2 (2019),  306–312
  6. The effect of specular reflectances on the interaction of an electromagnetic $E$ wave with a thin metal film placed between two dielectric media

    Optics and Spectroscopy, 124:2 (2018),  250–254
  7. Features of the Debye mode in an electron plasma at various degrees of the electron gas degeneracy

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 44:24 (2018),  143–149
  8. Mathematical simulation of heat and mass transfer processes in a rectangular channel depending on the accommodation coefficient of tangential momentum

    Sib. Èlektron. Mat. Izv., 15 (2018),  1011–1023
  9. Nondegenerate electron plasma in a layer in an external electric field with a mirror boundary condition

    TVT, 56:5 (2018),  664–671
  10. Calculation of the RF conductivity and Hall constant of a thin metal film

    Zhurnal Tekhnicheskoi Fiziki, 87:12 (2017),  1769–1775
  11. Mathematical simulation of heat transfer in an elliptic channel under the action of a pressure gradient

    Zhurnal Tekhnicheskoi Fiziki, 87:3 (2017),  331–334
  12. Heat transfer process in an elliptic channel

    Mat. Model., 29:1 (2017),  84–94
  13. Analytical solution of the problem of heat transfer in rarefied gas between two coaxial cylinders

    Prikl. Mekh. Tekh. Fiz., 58:2 (2017),  115–121
  14. Mathematical modeling of transfer processes in an elliptical channel in the free molecular regime

    Sib. Zh. Ind. Mat., 20:3 (2017),  24–30
  15. The longitudinal electric current in maxwellian collisional plasma generated by a transverse electromagnetic wave

    TVT, 55:5 (2017),  649–655
  16. Electric current distribution in a thin metal layer for various specular reflection coefficients of its surfaces

    Zhurnal Tekhnicheskoi Fiziki, 86:10 (2016),  15–19
  17. Computation of the gas mass and heat fluxes in a rectangular channel in the free molecular regime

    Zhurnal Tekhnicheskoi Fiziki, 86:6 (2016),  37–41
  18. Thirteen-moments model kinetic equation and its parameters

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

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

    Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016),  1667–1676
  21. Nanofilm thickness measurement by resonant frequencies

    Kvantovaya Elektronika, 45:3 (2015),  270–274
  22. Mathematical modeling of the process heat transfer in a long cylindrical channel

    Zhurnal SVMO, 17:1 (2015),  22–29
  23. Magnetic susceptibility and Landau diamagnetism of a quantum collisional degenerate plasma

    TMF, 183:3 (2015),  477–485
  24. 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
  25. Longitudinal dielectric permeability of a quantum degenerate plasma with a constant collisional frequency

    TVT, 52:1 (2014),  136–138
  26. Modelling of transport processes in problem of Couette flow at incomplete accommodation of a tangential impulse of gas molecules by the walls of the channel

    Mat. Model., 25:2 (2013),  111–124
  27. Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach

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

    Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013),  459–474
  29. Analytical solution of the Poiseuille flow problem using the ellipsoidal-statistical model of the Boltzmann kinetic equation

    Prikl. Mekh. Tekh. Fiz., 53:4 (2012),  48–56
  30. Analytic solution of a problem of Couette Flow

    Zhurnal SVMO, 14:1 (2012),  72–82
  31. A new method for solving the boundary value problem in kinetic theory

    Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012),  539–552
  32. Mathematical modelling of processes of carry in flat channels

    Zhurnal SVMO, 13:2 (2011),  81–91
  33. Longitudinal permittivity of a quantum degenerate collisional plasma

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

    Prikl. Mekh. Tekh. Fiz., 51:6 (2010),  42–48
  35. 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
  36. Rarefied gas flow near a rotating cylinder

    Sib. Zh. Ind. Mat., 13:2 (2010),  19–29
  37. Analytic solution of the Poiseuille Flow problem

    Zhurnal SVMO, 12:3 (2010),  111–121
  38. 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
  39. Temperature jump in degenerate quantum gases in the presence of a Bose–Einstein condensate

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

    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1506–1519
  41. 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
  42. Аналитическое решение системы уравнений Власова–Пуассона в задаче о скин-эффекте

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

    TMF, 161:1 (2009),  95–108
  44. Generation of shear waves in gas by a vibrating surface

    TVT, 47:2 (2009),  262–268
  45. Solution of the skin effect problem with an arbitrary coefficient of specular reflection

    Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009),  137–151
  46. 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
  47. Smolukhowski problem for degenerate Bose gases

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

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

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

    Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007),  1229–1247
  51. 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
  52. Effect of temperature on slip coefficients of molecular gases

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

    TMF, 147:3 (2006),  487–502
  54. 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
  55. Electromagnetic properties of the non-uniform cylindrical particle of final length

    Mat. Model., 17:4 (2005),  105–124
  56. Absorption of an electromagnetic wave by an inhomogeneous cylindrical particle

    Kvantovaya Elektronika, 35:6 (2005),  547–553
  57. 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
  58. The Method of Singular Equations in Boundary Value Problems in Kinetic Theory

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

    TMF, 142:1 (2005),  93–111
  60. 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
  61. Analytical solution of the kinetic equation in the problem about point-like source in polyatomic gases

    Mat. Model., 16:11 (2004),  61–76
  62. Analytical solution of boundary-value problems for the ellipsoidal statistical equation

    Prikl. Mekh. Tekh. Fiz., 45:5 (2004),  13–25
  63. 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
  64. 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
  65. 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
  66. A method of solving boundary value problems for kinetic equations

    Zh. Vychisl. Mat. Mat. Fiz., 44:6 (2004),  1107–1118
  67. 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
  68. Kinetic processes in quantized Bose-gases and analytical solution of boundary value problems

    Mat. Model., 15:5 (2003),  80–94
  69. 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
  70. Kinetic Equation for Quantum Fermi Gases and the Analytic Solution of Boundary Value Problems

    TMF, 134:2 (2003),  310–324
  71. Calculation of a heat flow from a spherical particle in a diatomic gas

    Prikl. Mekh. Tekh. Fiz., 43:5 (2002),  97–104
  72. 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
  73. 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
  74. Analytic Solution of the Kinetic Equation in the Problem of Pointlike Sources in a Diatomic Gas

    TMF, 133:1 (2002),  132–144
  75. The Inclusion of Energy Accommodation in Calculating the Heat Flux from a Spherical Particle in a Polyatomic Gas

    TVT, 40:4 (2002),  662–668
  76. Boundary value problems for an ellipsoidally statistical equation

    Vladikavkaz. Mat. Zh., 4:4 (2002),  19–32
  77. 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
  78. Boundary Problems for a Quantum Fermi Gas

    TMF, 129:3 (2001),  491–502
  79. Kinetic coefficients in the boundary-value problem on the slip of a multiatomic gas with rotational degrees of freedom

    TVT, 39:6 (2001),  977–985
  80. Solution of the Boltzmann kinetic equation in the problem on calculation of heat flux from a spherical particle at arbitrary values of Knudsen number

    TVT, 39:4 (2001),  657–664
  81. Electron plasma in a metal half-space in an alternating electric field

    Zh. Vychisl. Mat. Mat. Fiz., 41:8 (2001),  1229–1241
  82. Intense evaporation from the surface of a spherical particle into a vacuum with due regard for the evaporation coefficient

    TVT, 38:5 (2000),  780–785
  83. Supersonic condensation of molecular gas

    TVT, 38:4 (2000),  639–645
  84. Modification of the method of half-space moments as applied to the problem on the calculation of heat flux from a spherical particle at arbitrary Knudsen numbers

    TVT, 38:1 (2000),  96–100
  85. 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
  86. Nonstationary boundary problem for model kinetic equations at critical parameters

    TMF, 116:2 (1998),  305–320
  87. Strong evaporation of molecular gas

    TVT, 36:1 (1998),  113–119
  88. Boundary-value problem for the kinetic equation in a layer with mirror boundary conditions

    Prikl. Mekh. Tekh. Fiz., 38:6 (1997),  32–40
  89. Analytical solution of the nonstationary Boltzmann equation in the BGK-model

    TMF, 113:1 (1997),  139–148
  90. Construction of the model transport equation of massless Bose gas and its analytic solution

    TMF, 111:3 (1997),  462–472
  91. Supersonic condensation of monoatomic gas

    TVT, 35:2 (1997),  342–346
  92. 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
  93. Modification of the Lees method in calculations of heat flux from a spherical particle at arbitrary Knudsen numbers

    Prikl. Mekh. Tekh. Fiz., 37:1 (1996),  57–63
  94. The state of a gas near a surface during subsonic condensation

    TVT, 34:4 (1996),  614–618
  95. 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
  96. Stationary radial motion of radiation-heated vapor from intensively evaporating a metal particle to vacuum

    TVT, 33:4 (1995),  578–582
  97. Calculation of the heat flux from a spherical particle at arbitrary Knudsen numbers

    TVT, 32:4 (1994),  554–557
  98. 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
  99. Analytic solution to the problem of the temperature jump in a gas with rotational degrees of freedom

    TMF, 95:3 (1993),  530–540
  100. Boundary conditions for the intense evaporation of a spherical particle into vacuum

    TVT, 31:1 (1993),  73–77
  101. Analytic solution of a problem on the resistance of the interface between crystallites

    Zh. Vychisl. Mat. Mat. Fiz., 33:4 (1993),  600–610
  102. 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
  103. Analytical solution of model Boltzmann BGK-equation in temperature jump problem with energy accomodation

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

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

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

    TMF, 90:2 (1992),  179–189
  107. Application of the Mott–Smith method to solving the problem of intense evaporation from a plane surface

    TVT, 30:2 (1992),  345–350
  108. Effects of nonequilibrium of the plasma of a vapor aureole in an intense radiation field

    Prikl. Mekh. Tekh. Fiz., 32:2 (1991),  3–7
  109. К вопросу об интенсивном поверхностном испарении (№ 2568-В-91 Деп. от 19.06.1991)

    TVT, 29:5 (1991),  1038
  110. Intensive vaporization of an aggregate of particles including thermal and ionization disequilibrium in a radiation field

    TVT, 29:5 (1991),  864–871
  111. State of a binary gas mixture near an evaporating surface during intensive evaporation

    TVT, 29:1 (1991),  128–133
  112. 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
  113. Exact solution of the weakly evaporation problem for the Boltzmann equation with BGK operator collision

    Mat. Model., 2:6 (1990),  55–63
  114. On the diffusiophoresis of moderately large non volatile aerosol particles

    Dokl. Akad. Nauk SSSR, 301:5 (1988),  1111–1114
  115. The dependence of coefficients of isothermal and thermal slip on temperature

    Dokl. Akad. Nauk SSSR, 296:5 (1987),  1107–1111
  116. On boundary conditions during the flow of a non uniformly heated gas past a spherical surface of small curvature

    Dokl. Akad. Nauk SSSR, 254:2 (1980),  343–346
  117. Diffusion slipping of binary gas mixture along a curved surface

    Dokl. Akad. Nauk SSSR, 237:2 (1977),  303–306

© Steklov Math. Inst. of RAS, 2025