Blow-up of the Solution for a Generalized Boussinesq Equation

WANG Yan-ping; GUO Bo-ling

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WANG Yan-ping, GUO Bo-ling. Blow-up of the Solution for a Generalized Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1281-1286.

Citation:

WANG Yan-ping, GUO Bo-ling. Blow-up of the Solution for a Generalized Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1281-1286.

Citation:

WANG Yan-ping, GUO Bo-ling. Blow-up of the Solution for a Generalized Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1281-1286.

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Blow-up of the Solution for a Generalized Boussinesq Equation

WANG Yan-ping^1,2,
GUO Bo-ling²

1.
Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, P. R. China;

Received Date: 2006-08-17
Rev Recd Date: 2007-08-20
Publish Date: 2007-11-15

Abstract

Abstract

The initial boundary value problem for a generalized Boussinesq equation was studied and the existence and uniqueness of the local generalized solutions of the problem by Galerkin method were proved. Moreover, the sufficient conditions of blow-up of the solution of the problem in finite time by the concavity method were given.
- Boussinesq equation,
- initial boundary value problem,
- local solution,
- blow-up of the solution

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References(9)

References

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