11 Result(s)
within
A. V. Latyshev
Mathematics
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Article
Analytical Solution of a Plasma Oscillation Problem in a Half-Space Subject to Diffusive Boundary Conditions
The boundary value problem on the behavior (oscillations) of electron plasma with an arbitrary degree of degeneracy of the electron gas in the half-space subject to diffusive boundary conditions is solved anal...
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Article
Thirteen-moment model kinetic equation and its parameters
We propose the generalized model kinetic equation that represents a hybrid of the Shakhov equation and the ellipsoidal statistical Holway equation; this is the thirteen-moment equation. The constants of the eq...
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Article
Generation of a longitudinal current by a transverse electromagnetic field in collisional degenerate plasma
From the Vlasov–Boltzmann kinetic equation for a collisional degenerate plasma, the electron distribution function is constructed in the quadratic approximation in the electric field strength. A formula for ca...
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Article
Analytical solution of the second Stokes problem for rarefied gas with Cercignani boundary conditions
The second Stokes problem concerning the behavior of a rarefied gas in the half-space bounded over a plate undergoing harmonic in-plane oscillations is solved analytically using the Bhat-nagar-Gross-Krook equa...
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Article
Analytic solution of the Maxwell-Vlasov equations in the skin effect problem with electron-electron collisions
The skin effect problem is solved analytically in the case when the electron-electron collisions start to affect the properties of the Maxwell plasma. A two-parameter kinetic equation taking into account these...
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Article
Plasma waves reflection from a boundary with specular accommodative boundary conditions
In the present work the linearized problem of plasma wave reflection from a boundary of a half-space is solved analytically. Specular accommodative conditions of plasma wave reflection from plasma boundary are...
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Article
Electric field in the Smoluchowski problem in a metal with an arbitrary coefficient of specular reflection
The electric field and the potential in the electron gas temperature jump problem in a metal under the influence of temperature gradient that is normal to the surface are constructed. The electron scattering f...
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Article
Solution of the skin effect problem with an arbitrary coefficient of specular reflection
An analytical solution of the skin effect problem in a metal with specular-diffuse boundary conditions is obtained. A new analytical method is developed that makes it possible to obtain a solution up to an arb...
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Article
Reflection and transmission of plasma waves at the interface of crystallites
A linearized problem of the reflection and transmission of a plasma wave at the boundary of a half-space (namely, the plane separating two crystallites) is formulated and analytically solved. The electron dist...
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Article
Nondegenerate plasma with a diffusive boundary condition in a high-frequency electric field near resonance
An analytical solution of the linearized problem concerning the behavior of collisional non-degenerate plasma in an external electric field is obtained. It is assumed that the electrons are diffusively scatter...
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Article
Skin effect at a finite temperature with a diffusive condition on the boundary of the half-space of the conducting medium
An analytical solution of the skin effect problem at a finite temperature with diffusive scattering of electrons on the boundary of the half-space filled by a conducting medium is obtained.
