Blow-up and infinite propagation speed for a two-component b-family system

被引：0
|
作者：
Wei Feng
Zhongping Li
机构：
[1] College of Mathematics and Information Science,
[2] Neijiang Normal University,undefined
[3] College of Mathematics and Information,undefined
[4] China West Normal University,undefined
来源：
Boundary Value Problems | / 2014卷 / 1期
关键词：
a two-component b-family system; blow-up; infinite propagation speed;
D O I：
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学科分类号：
摘要：
In this paper, we study the Cauchy problem of a two-component b-family system which arises in shallow water theory. We first derive the precise blow-up scenario and present a blow-up result. Then we investigate the infinite propagation speed in the sense that the corresponding solution with compact supported initial datum does not have compact spatial support any longer in its lifespan.
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