Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particle Bath

被引：0
|
作者：
Marzia Bisi
José A. Carrillo
Bertrand Lods
机构：
[1] Università di Parma,Dipartimento di Matematica
[2] Universitat Autònoma de Barcelona,ICREA (Institució Catalana de Recerca i Estudis Avançats) and Departament de Matemàtiques
[3] Université Blaise Pascal (Clermont-Ferrand 2),Laboratoire de Mathématiques, CNRS UMR 6620
来源：
Journal of Statistical Physics | 2008年 / 133卷
关键词：
Cauchy Problem; Boltzmann Equation; Equilibrium Solution; Collision Operator; Fourier Integral Operator;
D O I：
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学科分类号：
摘要：
We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host medium with a fixed distribution. This is achieved by controlling the Lp-norms, the moments and the regularity of the solutions to the Cauchy problem together with arguments related to a dynamical proof for the existence of stationary states.
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页码：841 / 870
页数：29
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