BLOW-UP IN THE BOUSSINESQ EQUATION

被引：30

作者：

TURITSYN, SK

机构：

[1] Institüt für Theoretische Physik I, Heinrich-Heine-Universität Düsseldorf

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.47.R796

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The Boussinesq equation is known to be the fundamental nonlinear model, describing wave propagation in a weakly dispersive nonlinear medium. In this paper, we prove the existence of the collapse dynamics for the two basic forms of the Boussinesq equation in the case of the periodic boundary conditions. The sufficient criterion of the blow-up is found analytically.

引用

页码：R796 / R799

页数：4

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