Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence

Tong Yang; Seiji Ukai; Huijiang Zhao

doi:10.3934/dcds.2009.23.495

Article Contents

2009, Volume 23, Issue 1&2: 495-520. Doi: 10.3934/dcds.2009.23.495

This issue Previous Article Quasilinear elliptic equations with signed measure Next Article Upper semi-continuity of stationary statistical properties of dissipative systems

Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence

1.
17-26 Iwasaki, Hodogaya, Yokohama 240-0015
2.
Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
3.
School of Mathematics and Statistics, Wuhan University, Wuhan 430072

Received: December 2007

Revised: May 2008

Published: May 2009

Abstract Related Papers Cited by

Abstract

The exterior problem arising from the study of a flow past anobstacle is one of the most classical and important subjects in gasdynamics and fluid mechanics. The point of this problem is to assignthe bulk velocity at infinity, which is not a trivial driving forceon the flow so that some non-trivial solution profiles persist. Inthis paper, we consider the exterior problem for the Boltzmannequation when the Mach number of the far field equilibrium state issmall. The result here generalizes the previous one by Ukai-Asano onthe same problem to more general boundary conditions by cruciallyusing the velocity average argument.

Keywords:

Mathematics Subject Classification: Primary: 76P05; Secondary: 35F20; 76E30; 82C40.

Citation:

Article Metrics

HTML views() PDF downloads(111) Cited by(0)

Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content