L 1 and BV-type stability of the inelastic Boltzmann equation near vacuum

被引：9
作者：
Wu, Zhigang [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 2010年 / 22卷 / 03期
关键词：
Inelastic Boltzmann equation; Stability; Mild solution; Vacuum; HIGH-ENERGY TAILS; CAUCHY-PROBLEM; GLOBAL EXISTENCE; INFINITE VACUUM; UNIQUENESS; MODELS; SYSTEM;
D O I：
10.1007/s00161-009-0127-z
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The L (1) and BV-type stability to mild solutions of the inelastic Boltzmann equation is given in this paper. The result is an extension of the stability of the classical solution of the elastic Boltzmann equation proved in Ha (Arch. Ration. Mech. Anal. 173:25-42, 2004 [16]). The observation relies on the energy loss of the inelastic Boltzmann equation. This is a continuity work of Alonso (Indiana Univ. Math. J. [1]), where the author obtained the global existence of a mild solution for the inelastic Boltzmann equation. The proof is based on the mollification method and constructing some functionals as the one in Chae and Ha (Contin. Mech. Thermodyn. 17(7):511-524, 2006 [9]).
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页码：239 / 249
页数：11
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