Blowup in Korteweg-de Vries-type systems

被引：3
|
作者：
Yushkov, E. V. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2012年 / 173卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Korteweg de Vries-type system of equations; Boussinesq-type system; initial and boundary value problem; solvability global in time; DEVRIES EQUATION; SOLITARY WAVES; SOLITONS;
D O I：
10.1007/s11232-012-0129-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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：9
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