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The Second Stokes Problem with Specular - Diffusive Boundary Conditions in Kinetic Theory

Mathematical Physics 2015-06-03 v1 math.MP Computational Physics

Abstract

The second Stokes problem with specular - diffusive boundary conditions of the kinetic theory is considered. The new method of the decision of the boundary problems of the kinetic theory is applied. The method allows to receive the decision with any degree of accuracy. At the basis of a method lays the idea of representation of a boundary condition on distribution function in the form of a source in the kinetic equation. By means of integrals Fourier the kinetic equation with a source is reduced to the integral equation of Fredholm type of the second kind. The decision is received in the form of Neumann's series.

Keywords

Cite

@article{arxiv.1201.2624,
  title  = {The Second Stokes Problem with Specular - Diffusive Boundary Conditions in Kinetic Theory},
  author = {V. A. Akimova and A. V. Latyshev and A. A. Yushkanov},
  journal= {arXiv preprint arXiv:1201.2624},
  year   = {2015}
}

Comments

20 pages, 2 figures

R2 v1 2026-06-21T20:03:49.576Z