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Article
Mobility of electrons in inhomogeneous crystals of gallium arsenide
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Article
Abstracts of articles deposited at VINITI
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Article
Simulation of ordered structures in open turbulent flows
Extensive experimental material [1–4] indicates that ordered (coherent) structures play an important part in determining the nature of the flow, the generation of Reynolds stresses and turbulence energy, and t...
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Article
Analytic aspects of solution of model kinetic equations
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Chapter
Analytic Solution of the Model Boltzmann Equation with the Collision Operator of Compound Type
A closed form solution of a system of two singular integral equations arising in the problem of slip flow in a rarefied gas is presented. The kinetic Boltzmann equation with a model collision operator of compo...
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Article
Analytic solution of slip problems for a binary gas
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Article
Exact solutions of model BGK Boltzmann equation in temperature jump and weak evaporation problems
An exact solution to the model Boltzmann equation with Bhatnagar-Gross-Krook (BGK) collision operator is obtained in the problems of weak evaporation and temperature and density jumps of a rarefied gas in a ha...
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Chapter
Structural Reconstruction of Atomically-Clean Silicon Surface during Sublimation and Epitaxy
The elucidation of elementary processes occurring on a surface during sublimation and epitaxy is a fundamental problem for the physics of semiconductors. The determination of the nature of superstructure recon...
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Article
Exact solution to the behavior of the electron plasma in a metal layer in an alternating electric field
Exact expressions are obtained for the first time for the response of the conduction electrons in a metal layer to an external alternating electric field. Case's well-known method of separation of the variable...
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Article
Analytic solution of the ellipsoidal-statistical model Boltzmann equation
An exact solution of the ellipsoidal-statistical model Boltzmann equation is constructed. The problem of the temperature jump in a rarefied gas is considered by way of illustration. By expanding the distributi...
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Article
Analytic solution of boundary-value problems for nonstationary model kinetic equations
A theory for constructing the solutions of boundary-value problems for nonstationary model kinetic equations is constructed. This theory was incorrectly presented in the recent well-known monographs of Cercign...
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Article
Analytical solution of the one-dimensional problem of moderately strong evaporation (and condensation) in a half-space
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Article
Analytic solution to the problem of the temperature jump in a gas with rotational degrees of freedom
An exact solution is obtained for the first time for the problem of the temperature jump in a gas with allowance for internal (rotational) degrees of freedom. The treatment is based on a model collision integr...
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Article
Analytic solution of vector model kinetic equations with constant kernel and their applications
Exact solutions are obtained for the first time for the half-space boundary-value problem for the vector model kinetic equations $$\be...
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Article
Analytical solution of the strong evaporation (condensation) problem
An exact solution of the model Boltzmann equation with BGK (Bhatnagar-Gross-Krook) collision operator is obtained in the problem of strong evaporation (condensation) from a plane surface. The generalized eigen...
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Article
Analytic solution to the problem of the behavior of a collisional plasma in a half-space in an external alternating electric field
An exact solution to the linearized problem of the behavior of a collisional plasma in a half-space in an external alternating electric field is obtained. Mirror boundary conditions are used. The eigenvectors ...
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Article
Boundary value problems for a model Boltzmann equation with frequency proportional to the molecule velocity
Exact solutions of a model Boltzmann equation with a collision frequency that depends on the molecule velocity and with a BGK (Bhatnagar-Gross-Krook) collision operator are constructed for the problems of weak...
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Article
Constructing a model transport equation for a massless bose gas and its analytic solution
A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solve the boundary value problem for the transport of radiation in the half-space occupied by a dis...
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Article
Thermal and isothermal slip in a new Liu model transport equation
The aim of this study was to investigate the suitability of the Liu model to solve boundary-value problems in kinetic theory. The problem of isothermal and thermal slip, which is of independent interest, is so...
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Article
Boundary-value problem for the kinetic equation in a layer with mirror boundary conditions
