Global existence and blow-up for a weakly dissipative μDP equation
classification
🧮 math-ph
math.APmath.MP
keywords
blow-updissipativeequationweaklyassociatedcauchydegasperis-procesidiscuss
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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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