activity
20102017
most citedThe kinetic one-dimensional equation with frequency of collisions, affine depending on the module molecular velocity

4 citations · 13 across the 23 of their papers we have counts for

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Showing 2014Show all

9 papers · 1 filter

math-ph2014

Solution of the Kramers' problem about isothermal sliding of moderately dense gas with accomodation boundary conditions

A. V. Latyshev, A. D. Kurilov

Half-space boundary Kramers' problem about isothermal sliding of moderate dense gas with accomodation boundary conditions along a flat firm surface is solving. The new method of th…

math-ph2014

A new method for solving of vector problems for kinetic equations with Maxwell boundary conditions

A. V. Latyshev

In the present work the classical problem of the kinetic theory of gases (the Smoluchowsky' problem about temperature jump in rarefied gas) is considered. The rarefied gas fills ha…

math-ph2014

Theory of orthogonality of eigenfunctions of the characteristic equations as a method of solution boundary problems for model kinetic equations

A. V. Latyshev, A. D. Kurilov

We consider two classes of linear kinetic equations: with constant collision frequency and constant mean free path of gas molecules (i.e., frequency of molecular collisions, propor…

math-ph2014

Analytical solution of problem about moderately strong evaporation (condensation) for one-dimensional kinetic equation

A. V. Latyshev, A. A. Yushkanov

For one-dimensional linear kinetic equations analytical solutions of problems about moderately strong evaporation (condensation), when frequency of collisions of molecules is const…

math-ph20141 cited

Boundary problems for the one-dimensional kinetic equation with the collisional frequence proportional to the module velocity of molecules

A. V. Latyshev, A. A. Yushkanov

For the one-dimensional linear kinetic equations with collisional frequency of the molecules, proportional to the module velocity of molecules, analytical solutions of problems abo…

math-ph20142 cited

Boundary problems for one-dimensional kinetic equation with constant collision frequency

A. L. Bugrimov, A. V. Latyshev, A. A. Yushkanov

For the one-dimensional linear kinetic equation analytical solutions of problems about temperature jump and weak evaporation (condensation) over flat surface are received. The equa…