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

preprint2011arXivOpen access

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.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

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

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Global existence and blow-up for a weakly dissipative μμμDP equation

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

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