On the Cauchy problem for a two-component Degasperis-Procesi system
Analysis of PDEs
2011-05-09 v1
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.
Cite
@article{arxiv.1105.1196,
title = {On the Cauchy problem for a two-component Degasperis-Procesi system},
author = {Kai Yan and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1105.1196},
year = {2011}
}