On Asymptotic Stability and Sweeping of Collisionless Kinetic Equations

详细信息    查看全文

• 作者：Mustapha Mokhtar-Kharroubi ; Ryszard Rudnicki
• 关键词：Kinetic equation ; Stochastic semigroup ; Billiards ; Convergence to equilibrium
• 刊名：Acta Applicandae Mathematicae
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：147
• 期：1
• 页码：19-38
• 全文大小：
• 刊物主题：Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics;
• 出版者：Springer Netherlands
• ISSN：1572-9036
• 卷排序：147

文摘

We study a collisionless kinetic equation describing density distribution function of the position and velocity of particles moving in a slab with finite thickness and with a partly diffusive boundary reflection. In particular, we deal with existence of an invariant density and with the convergence to the equilibrium. We also study the long time behavior of densities when the equilibrium does not exists.