Article ID Journal Published Year Pages File Type
4619270 Journal of Mathematical Analysis and Applications 2009 18 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis