ZERO OF THE DISPERSION EQUATIONS FROM THE SECOND STOKES PROBLEM ABOUT BEHAVIOUR OF GAS OVER THE FLUCTUATING SURFACE
Abstract
In the present work zero of dispersion function from the second Stokes problem
are investigated. The second Stokes problem is the problem about behaviour of the
rarefied gas filling half-space. A plane, limiting half-space, makes harmonious
fluctuations in the plane. We use the linear kinetic equation. The formula of factorization
of dispersion function is proved with the help of solution of boundary valur Riemann
problem the theory of functions of the complex variable. By means of the factorization
formula in an explicit form there are zero of dispersion function and their research
depending on quantity of dimensionless frequency of a plane limiting gas is carried out.
are investigated. The second Stokes problem is the problem about behaviour of the
rarefied gas filling half-space. A plane, limiting half-space, makes harmonious
fluctuations in the plane. We use the linear kinetic equation. The formula of factorization
of dispersion function is proved with the help of solution of boundary valur Riemann
problem the theory of functions of the complex variable. By means of the factorization
formula in an explicit form there are zero of dispersion function and their research
depending on quantity of dimensionless frequency of a plane limiting gas is carried out.
About the Authors
В. Акимова
Московский государственный областной университет
Russian Federation
Russian Federation
А. Бугримов
Московский государственный областной университет
Russian Federation
Russian Federation
А. Латышев
Московский государственный областной университет
Russian Federation
Russian Federation
А. Юшканов
Московский государственный областной университет
Russian Federation
Russian Federation
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