Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media

被引：15

作者：

Geng, Shifeng ^{[1
]}

Wang, Zhen ^{[1
]}

机构：

[1] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 36卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Convergence rates; Nonlinear diffusion waves; The system of compressible adiabatic flow; HYPERBOLIC CONSERVATION-LAWS; P-SYSTEM; ASYMPTOTIC PROFILE;

D O I：

10.1080/03605302.2010.520052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We realize the best asymptotic profile for the solutions to the Cauchy problem of the nonisentropic p-system with damping is a particular solution to the corresponding nonlinear parabolic equation with special initial data, and we further show the convergence rates to this particular asymptotic profile. This new rates are much better than that obtained by Nishihara and Nishikawa [15].

引用

页码：850 / 872

页数：23

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