Abstract
We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.
Citation
Yongsheng Mi. Chunlai Mu. Weian Tao. "On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System." J. Appl. Math. 2012 1 - 20, 2012. https://doi.org/10.1155/2012/197672
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