Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619270 | Journal of Mathematical Analysis and Applications | 2009 | 18 Pages |
Abstract
We study here an initial-value problem for the Degasperis–Procesi equation with a strong dispersive term, which is an approximation to the incompressible Euler equations for shallow water waves. We first determine the blow-up set of breaking waves to the equation. We then prove the existence and uniqueness of global weak solutions to the equation with certain initial profiles.
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