VISCOUS CONSERVATION LAWS WITH BOUNDARY

被引：2

作者：

Deng, Shijin ^{[1
]}

Wang, Weike ^{[2
]}

Yu, Shih-Hsien ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2012年 / 44卷 / 04期

基金：

美国国家科学基金会;

关键词：

Green's function; transversal part; compressive part; T-C scheme; shock stability; boundary; ASYMPTOTIC STABILITY; SHOCK-WAVES; PROPAGATION; CONVERGENCE; BEHAVIOR;

D O I：

10.1137/110849237

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we continue the scale separation approach, introduced in [S.-H. Yu, J. Amer. Math. Soc., 23 (2010), pp. 1041-1118] for the Boltzmann equation, to construct the linear wave propagation over a viscous shock profile. We have obtained exponentially sharp pointwise structure of the linear wave propagation and apply it to yield pointwise time-asymptotic convergence rate to a viscous shock profile for initial-boundary value problem.

引用

下载

页码：2695 / 2755

页数：61

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