Article ID Journal Published Year Pages File Type
4615416 Journal of Mathematical Analysis and Applications 2015 14 Pages PDF
Abstract

We investigate Cauchy problem of the two-component π-Camassa–Holm system which arises from geodesic flow on a semidirect product Lie group of the circle. The precise blow-up scenarios of strong solutions are derived for the system. Then, several criteria to guarantee blow-up of strong solutions are presented. Finally, the exact blow-up rate is determined.

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Related Topics
Physical Sciences and Engineering Mathematics Analysis
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On blow-up of solutions to the two-component π-Camassa–Holm system
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