Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity

Details Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity

2011-03-08

arxiv.org/abs/1103.1500v2

Mathematics

Analysis of PDEs

This paper has been withdrawn by the author due to an error in remark 4.1

Scientific paper

We first establish local well-posedness for a periodic 2-component
Camassa-Holm equation with vorticity. We then present a global existence result
for strong solutions to the equation. We finally obtain several blow-up results
and the blow-up rate of strong solutions to the equation.

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