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.
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页码：280 / 286
页数：7
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