Exterior Problem of Boltzmann Equation with Temperature Difference
Exterior Problem of Boltzmann Equation with Temperature Difference
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DOI：
10.3934/cpaa.2009.8.473
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发表时间：
2008-10
影响因子：
1
通讯作者：
S. Ukai;Tong Yang;Huijiang Zhao
中科院分区：
文献类型：
--
作者：
S. Ukai;Tong Yang;Huijiang Zhao
The existence of stationary solution to an exterior domain of the Boltzmann equation was first studied by S. Ukai and K. Asano in [25, 27] and was recently generalized by S. Ukai, T. Yang, and H. J. Zhao in [29] to more general boundary conditions. We note, however, that the results obtained in [25, 29] require that the temperature of the far field Maxwellian is the same as the one of the Maxwellian preserved by the boundary conditions. The main purpose of this paper is to discuss the case when these two temperatures are different. The analysis is based on some new estimates on the linearized collision operator and the method introduced in [25, 27, 29].
