Analytical solution of the second Stokes problem with variable amplitude on behavior of gas over an oscillation surface

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Bedrikova, E.A.^1 ; Latyshev, A.V.^1

Moscow State Regional University, Radio str. 10-A, Moscow

105005, Russia^1

关键词: Dispersion function;    Eigen-solutions;    General solutions;    Kinetic equations;    Linear kinetics;    Stokes problem;    Variable amplitudes;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012038/pdf
DOI  :  10.1088/1742-6596/788/1/012038

来源: IOP

【 摘 要 】

The analytical solution of the second Stokes problem is found. The case of the variable amplitude of fluctuation of a surface is considered. The linear kinetic equation with boundary conditions is derived. Eigen solutions of the equation are found. Properties of dispersion function are investigated. The general solution of the kinetic equation with boundary conditions in terms of the eigen solutions decomposition is composed.