Article ID Journal Published Year Pages File Type
4617496 Journal of Mathematical Analysis and Applications 2012 14 Pages PDF
Abstract

Considered herein is the well-posedness problem of the periodic two-component Dullin–Gottwald–Holm (DGH) system on the circle, which can be derived from Eulerʼs equation with constant vorticity in shallow water waves moving over a linear shear flow. The result of blow-up solutions for certain initial profiles in a manner which corresponds to wave-breaking is established.

Related Topics
Physical Sciences and Engineering Mathematics Analysis