Exterior problem for the Boltzmann equation with temperature difference: asymptotic stability of steady solutions

详细信息    查看全文

• 作者：Xuanji Jia ^{x.j.jia@my.city.edu.hk}
• 关键词：Exterior problem ; Boltzmann equation ; Temperature difference ; Steady solutions ; Asymptotic stability
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：262
• 期：6
• 页码：3642-3688
• 全文大小：582 K
• 卷排序：262

文摘

The asymptotic stability of non-equilibrium steady solutions to the exterior problem for the Boltzmann equation was first proved by Ukai and Asano in [17], under the assumption that the temperature associating with the far-field Maxwellian and the one preserved by the kinetic boundary condition are the same. In this paper, we generalize Ukai and Asano's result in the sense that the two temperatures mentioned above are allowed to be different. The proof of the main theorem is based on the ideas developed in  and  and [20] as well as some new observations.