Global existence and blow-up for a weakly dissipative $μ$DP equation
arXiv:1010.2355 · doi:10.1016/j.na.2011.04.043
Abstract
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 $H^s(§)$, $s>3/2$, and discuss the precise blow-up scenario for $s=3$. We also present explicit examples for globally existing solutions and blow-up.
11 pages