Article ID Journal Published Year Pages File Type
4611850 Journal of Differential Equations 2012 29 Pages PDF
Abstract

This paper is concerned with the Cauchy problem for a two-component Degasperis–Procesi system. Firstly, the local well-posedness for this system in the nonhomogeneous Besov spaces is established. Then the precise blow-up scenario for strong solutions to the system is derived. Finally, two new blow-up criterions and the exact blow-up rate of strong solutions to the system are presented.

Related Topics
Physical Sciences and Engineering Mathematics Analysis