Global existence and blow-up for a weakly dissipative $μ$DP equation

Details Global existence and blow-up for a weakly dissipative $μ$DP equation Global existence and blow-up for a weakly dissipative $μ$DP equation

2010-10-12

arxiv.org/abs/1010.2355v2

Nonlinear Analysis TMA 74 (2011) 4746-4753

Physics

Mathematical Physics

11 pages

Scientific paper

10.1016/j.na.2011.04.043

In this paper, we study a weakly dissipative variant of the periodic
Degasperis-Procesi equation. We show the local well-posedness of the associated
Cauchy problem in $H^s(\S)$, $s>3/2$, and discuss the precise blow-up scenario
for $s=3$. We also present explicit examples for globally existing solutions
and blow-up.

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