Global solution of the Boltzmann equation for rigid spheres and initial data close to a local Maxwellian

Global solution of the Boltzmann equation for rigid spheres and initial data close to a local Maxwellian
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DOI:
10.1063/1.528522
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发表时间:
1989-10
影响因子:
1.3
通讯作者:
A. Palczewski;G. Toscani
A. Palczewski;G. Toscani
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
A. Palczewski;G. Toscani

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本文是作者之一[Arch. Rat.机械肛门102,231(1988)],给出了初始值接近局部Maxwell的Boltzmann方程的一个整体存在性定理.与以前的结果相反,证明了刚性球和角截断的“硬”势的整体存在性。
In this paper, which is an extension of the previous paper of one of the authors [Arch. Rat. Mech. Anal. 102, 231 (1988)], a global existence theorem is presented for the Boltzmann equation for initial data close to a local Maxwellian of a special type. Contrary to the previous result, the global existence is proved for rigid spheres and ‘‘hard’’ potentials with angular cutoff.