Lp stability for the Boltzmann equation near vacuum

被引：0

作者：

Deng, Wei ^{[1
]}

Lu, Lu ^{[1
]}

机构：

[1] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 02期

关键词：

Boltzmann equation; Uniform stability; Vacuum; UNIFORM STABILITY; GLOBAL EXISTENCE; SYSTEM; FUNCTIONALS; SPACE; L-1;

D O I：

10.1007/s00033-016-0618-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is concerned with the uniform time stability in the Lebesgue space L-p(R-3 x R-3) of solutions to the Boltzmann equation near vacuum. Precisely, for the soft potential case -2 < gamma < 0, there exists p(gamma) > 1 such that the nonnegative solution with algebraic decay rate in x, v at infinity is stable with respect to small initial data uniformly in time in L-p with 1 <= p < p(gamma).

引用

页数：10

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