Stationary solutions for the ellipsoidal BGK model in a slab

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• 作者：Jeaheang Bang^a ; ^{j.bang@rutgers.edu" class="auth_mail" title="E-mail the corresponding author} ; Seok-Bae Yun^b ; ^{sbyun01@skku.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35Q20 ; 82C40 ; 35A01 ; 35A02 ; 35F30
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：15 November 2016
• 年：2016
• 卷：261
• 期：10
• 页码：5803-5828
• 全文大小：331 K

文摘

We address the boundary value problem for the ellipsoidal BGK model of the Boltzmann equation posed in a bounded interval. The existence of a unique mild solution is established under the assumption that the inflow boundary data does not concentrate too much around the zero velocity, and the gas is sufficiently rarefied.