Blowup of solutions of the three-dimensional Rosenau-Burgers equation

被引：5

作者：

Korpusov, M. O. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2012年 / 170卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

finite-time blowup; Sobolev-type nonlinear equation; nonlinear mixed boundary value problem; hydrodynamics; semiconductor; Rosenau-Burgers equation; GLOBAL-SOLUTIONS; WAVE-EQUATIONS; NONEXISTENCE; INSTABILITY; BREAKING;

D O I：

10.1007/s11232-012-0030-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the initial boundary value problem for the well-known three-dimensional Rosenau-Burgers equation in the cylinder (0, L) circle times S (where S subset of R-2) for some boundary conditions. Using the test-function method, we obtain the result on the blowup of solutions of this initial boundary value problem during a finite time. This is one of the first results in the " blowup" direction for this equation.

引用

页码：280 / 286

页数：7

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