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On blow-up of solutions to the two-component pi-Camassa-Holm system
Journal article   Open access  Peer reviewed

On blow-up of solutions to the two-component pi-Camassa-Holm system

Caochuan Ma, Ahmed Alsaedi, Tasawar Hayat and Yong Zhou
Journal of mathematical analysis and applications, Vol.426(2), pp.1026-1039
15/06/2015
DOI: https://doi.org/10.1016/j.jmaa.2015.02.010

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We investigate Cauchy problem of the two-component pi-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. (C) 2015 Elsevier Inc. All rights reserved.
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https://doi.org/10.1016/j.jmaa.2015.02.010View
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