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

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

2010-12-22

arxiv.org/abs/1012.4904v1

Mathematics

Analysis of PDEs

Scientific paper

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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