Periodic solutions of the Degasperis-Procesi equation: Well-posedness and asymptotics

被引：21
|
作者：
Coclite, G. M. [1 ]
Karlsen, K. H. [2 ]
机构：
[1] Univ Bari, Dept Math, I-70125 Bari, Italy
[2] Univ Oslo, Dept Math, N-0316 Oslo, Norway
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2015年 / 268卷 / 05期
关键词：
Shallow water equation; Hyperbolic conservation law; Entropy condition; Long-time asymptotics of periodic solutions; SHOCK-WAVES;
D O I：
10.1016/j.jfa.2014.11.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the well-posedness of periodic entropy (discontinuous) solutions for the Degasperis-Procesi equation. Partly motivated by the bounded periodic solutions found by Vakhnenko and Parkes [21], we study the long-time asymptotic behavior of periodic entropy solutions. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：1053 / 1077
页数：25
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