A singular limit problem for conservation laws related to the Kawahara equation

被引：8
|
作者：
Coclite, Giuseppe Maria [1 ]
di Ruvo, Lorenzo [2 ]
机构：
[1] Univ Bari, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy
[2] Univ Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via G Amendola 2, I-42122 Reggio Emilia, Italy
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2016年 / 140卷 / 03期
关键词：
Singular limit; Compensated compactness; Kawahara equation; Entropy condition; DISPERSIVE EQUATIONS; CONVERGENCE; APPROXIMATIONS; WAVES;
D O I：
10.1016/j.bulsci.2015.12.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Kawahara equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solution of the dispersive equation converges to the unique entropy solution of the Burgers equation. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the LP setting. (C) 2016 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：303 / 338
页数：36
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