Kinetic decomposition for singularly perturbed higher order partial differential equations

被引：43
|
作者：
Hwang, S [1 ]
机构：
[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 200卷 / 02期
关键词：
hyperbolic conservation laws; singularly perturbed higher order partial differential equations; kinetic formulation; averaging lemmas;
D O I：
10.1016/j.jde.2003.12.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider singularly perturbed higher order partial differential equations. We establish the condition under which the approximate solutions converge in a strong topology to the entropy solution of a scalar conservation laws using methodology developed in Hwang and Tzavaras (Comm. Partial Differential Equations 27 (2002) 1229). First, we obtain the approximate transport equation for the given dispersive equations. Then using the averaging lemma, we obtain the convergence. (C) 2004 Elsevier Inc. All rights reserved.
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页码：191 / 205
页数：15
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