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.
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页码：2695 / 2755
页数：61
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