On the Cauchy problem of a two-component b-family equation

2010/12/22 by Jingjing Liu, Zhaoyang Yin, Liu, Jingjing +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1012.4904

arxiv created 2010/12/22 · arxiv updated 2010/12/23

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.

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