On the Cauchy problem of a two-component b-family equation
Analysis of PDEs
2010-12-23 v1
Abstract
In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato's semigroup theory. Then, we derive precise blow-up scenarios for strong solutions to the equation. Moreover, we present several blow-up results for strong solutions to the equation.
Keywords
Cite
@article{arxiv.1012.4904,
title = {On the Cauchy problem of a two-component b-family equation},
author = {Jingjing Liu and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1012.4904},
year = {2010}
}