Article ID Journal Published Year Pages File Type
841137 Nonlinear Analysis: Theory, Methods & Applications 2011 8 Pages PDF
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 Hs(S)Hs(S), s>3/2s>3/2, and discuss the precise blow-up scenario for s=3s=3. We also present explicit examples for globally existing solutions and blow-up.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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