| 一类Boussinesq型方程整体解的存在性和唯一性 |
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| 引用本文： | 王玉柱,陈翔英. 一类Boussinesq型方程整体解的存在性和唯一性[J]. 数学年刊A辑(中文版), 2011, 32(5): 565-578 |
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| 作者姓名： | 王玉柱 陈翔英 |
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| 作者单位： | 华北水利水电学院数学与信息科学学院;郑州电力高等专科学校经济贸易系; |
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| 基金项目： | 国家自然科学基金(No.10971199,No.11101144); 河南省教育厅基金(No.2009C110006); 华北水利水电学院高层次人才科研启动项目(No.201031)资助的项目 |
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| 摘 要： | 证明一类6阶Boussinesq型方程Cauchy问题整体广义解和整体古典解的存在性和唯一性,给出解在有限时刻发生爆破的充分条件.
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| 关 键 词： | Boussinesq型方程 Cauchy问题 整体解 解的爆破 |
Existence and Uniqueness of Global Solutions to a Class of Boussinesq Type Equations |
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| WANG Yuzhu and CHEN Xiangying. Existence and Uniqueness of Global Solutions to a Class of Boussinesq Type Equations[J]. Chinese Annals of Mathematics, 2011, 32(5): 565-578 |
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| Authors: | WANG Yuzhu and CHEN Xiangying |
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| Affiliation: | WANG Yuzhu~1 CHEN Xiangying~2 1 School of Mathematics and Information Sciences,North China University of Water Resources and Electric Power,Zhengzhou 450011,China. 2 Department of Economy and Trade,Zhengzhou Electric Power College,Zhengzhou 450004,China. |
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| Abstract: | In this paper,the existence and uniqueness of global generalized solutions and global classical solutions to the Cauchy problem for a class of Boussinesq type equations of sixth order are proved.Some sufficient conditions of blow up of solutions to this Cauchy problem in finite time are also given. |
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| Keywords: | Boussinesq type equation Cauchy problem Global solution Blow up of solution |
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