Blow-up of solution for a generalized Boussinesq equation

WANG Yan-ping;GUO Bo-ling

doi:10.1007/s10483-007-1103-y

Applied Mathematics and Mechanics >

2007 , Vol. 28 >Issue 11: 1437 - 1443

DOI: https://doi.org/10.1007/s10483-007-1103-y

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Blow-up of solution for a generalized Boussinesq equation

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1. Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, P. R. China;
2. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, P. R. China

Received date: 2006-08-17

Revised date: 2007-08-08

Online published: 2007-11-18

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Abstract

This paper studies the initial boundary value problem for a generalized Boussinesq equation and proves the existence and uniqueness of the local generalized solution of the problem by using the Galerkin method. Moreover, it gives the sufficient conditions of blow-up of the solution in finite time by using the concavity method.

Key words： Boussinesq equation; initial boundary value problem; local solution; blow-up of the solution

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WANG Yan-ping;GUO Bo-ling . Blow-up of solution for a generalized Boussinesq equation[J]. Applied Mathematics and Mechanics, 2007 , 28(11) : 1437 -1443 . DOI: 10.1007/s10483-007-1103-y

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