Blow-up phenomena and global existence for the weakly dissipative generalized periodic Degasperis-Procesi equation

被引：0

作者：

Ma, Caochuan ^{[1
]}

Alsaedi, Ahmed ^{[2
]}

Hayat, Tasawar ^{[2
,3
]}

Zhou, Yong ^{[2
,4
]}

机构：

[1] Tianshui Normal Univ, Dept Math, Tianshui 741001, Gansu, Peoples R China

[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia

[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

[4] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

weakly dissipative; generalized periodic Degasperis-Procesi equation; blow-up; global existence; blow-up rate; CAMASSA-HOLM;

D O I：

10.1186/1687-2770-2014-123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Cauchy problem of a weakly dissipative generalized periodic Degasperis-Procesi equation. The precise blow-up scenarios of strong solutions to the equation are derived by a direct method. Several new criteria guaranteeing the blow-up of strong solutions are presented. The exact blow-up rates of strong solutions are also determined. Finally, we give a new global existence results to the equation.

引用

页数：14

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