GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR A WEAKLY DISSIPATIVE DEGASPERIS-PROCESI EQUATION

被引：18

作者：

Wu, Shuyin ^{[1
]}

Escher, Joachim ^{[2
]}

Yin, Zhaoyang ^{[3
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650092, Peoples R China

[2] Leibniz Univ Hannover, Inst Appl Math, D-30167 Hannover, Germany

[3] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 12卷 / 03期

关键词：

Weakly dissipative Degasperis-Procesi equation; Global existence; Blow-up; SHALLOW-WATER EQUATION; CAMASSA-HOLM EQUATION; INTEGRABLE EQUATION; PEAKON SOLUTIONS; WAVE SOLUTIONS; STABILITY; TRAJECTORIES; PROPAGATION; VORTICITY; BREAKING;

D O I：

10.3934/dcdsb.2009.12.633

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the long time behaviour of a weakly dissipative Degasperis-Procesi equation. Our analysis discloses the co-existence of global in time solutions and finite time break down of strong solutions. Our blow-up criterion for the initial profile generalizes considerably results obtained earlier in [32].

引用

页码：633 / 645

页数：13

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