Blow-up phenomena and global existence for the nonuniform weakly dissipative b-equation

作者：Niu Weisheng; Zhang Shuanghu^*

来源：Journal of Mathematical Analysis and Applications, 2011, 374(1): 166-177.

DOI：10.1016/j.jmaa.2010.08.002

• The nonuniform weakly dissipative
• b-equation
• Blow-up
• Decay

We first establish the local well-posedness for the nonuniform weakly dissipative b-equation which includes both the weakly dissipative Camassa-Holm equation and the weakly dissipative Degasperis-Procesi equation as its special cases. We then study the blow-up phenomena and the long time behavior of the solutions. Two blow-up-results are established for certain initial profiles. Moreover, two sufficient conditions for the decay of the solutions are presented.

• 出版日期2011-2-1
• 单位西南大学