一类广义Boussinesq型方程解的爆破

基金项目: 国家自然科学基金资助项目(10671182);河南省高等学校青年骨干教师资助计划项目

Blow-up of the Solution for a Generalized Boussinesq Equation

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

摘要: 研究一类广义Boussinesq型方程的初边值问题，利用Galerkin方法证明问题局部广义解的存在性与唯一性．同时，通过使用凸性方法给出问题的解在有限时刻发生爆破的充分条件．
- Boussinesq型方程 /
- 初边值问题 /
- 局部解 /
- 解的爆破
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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