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

被引：0
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作者：
Caochuan Ma
Ahmed Alsaedi
Tasawar Hayat
Yong Zhou
机构：
[1] Tianshui Normal University,Department of Mathematics
[2] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science
[3] Quaid-I-Azam University,Department of Mathematics
[4] Zhejiang Normal University,Department of Mathematics
来源：
Boundary Value Problems | / 2014卷
关键词：
weakly dissipative; generalized periodic Degasperis-Procesi equation; blow-up; global existence; blow-up rate;
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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.
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