Title of article
Global existence and blow-up for a weakly dissipative μμDP equation
Author/Authors
Martin Kohlmann، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
8
From page
4746
To page
4753
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.
Keywords
weak dissipation , ??-Degasperis–Procesi equation , Global existence , Diffeomorphism group of the circle , Blow-up
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
863267
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