Blowup in Korteweg-de Vries-type systems

被引：0
|
作者：
E. V. Yushkov
机构：
[1] Lomonosov Moscow State University,
来源：
Theoretical and Mathematical Physics | 2012年 / 173卷
关键词：
Korteweg-de Vries-type system of equations; Boussinesq-type system; initial and boundary value problem; solvability global in time;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a pair Korteweg-de Vries system of the Boussinesq type and its symmetric analogue. Such systems, which describe the behavior of a liquid in a channel, are shown to have no solutions defined globally in time under certain conditions. Using the method of nonlinear capacity, we obtain sufficient conditions for the solution blowup and estimate the blowup time for both these systems and for a generalized multicomponent Korteweg-de Vries-type system.
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页码：1498 / 1506
页数：8
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