Exact solution of dispersion equation corresponding to ellipsoidal statistical equation from Stokes' second problem
Mathematical Physics
2012-11-05 v1 math.MP
Fluid Dynamics
Abstract
In the present work zero of dispersive function from Stokes' second problem are investigated. Stokes' second problem is a problem about behavior of the rarefied gas filling half-space. A plane, limiting half-space, makes harmonious oscillations in the plane. The linearization kinetic ellipsoidal the statistical equation with parameter is used. The factorization formula of dispersion function is proved. By means of the factorization formula zero of dispersion function in an explicit form and their research is carried out. Dependence on dimensionless quantity collision frequency of a plane limiting gas and on parameter equation are investigated.
Cite
@article{arxiv.1211.0402,
title = {Exact solution of dispersion equation corresponding to ellipsoidal statistical equation from Stokes' second problem},
author = {A. L. Bugrimov and A. V. Latyshev and A. A. Yushkanov and V. A. Akimova},
journal= {arXiv preprint arXiv:1211.0402},
year = {2012}
}
Comments
23 pages, 7 figures