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| 一类阻尼Boussinesq方程初边值问题的整体解 | |
| 引用本文： | 刘诗焕,钟越,黄文毅,赖绍永.一类阻尼Boussinesq方程初边值问题的整体解[J].四川师范大学学报(自然科学版),2007,30(3):275-279. |
| 作者姓名： | 刘诗焕 钟越 黄文毅 赖绍永 |
| 作者单位： | 1. 四川师范大学,数学与软件科学学院,四川,成都,610066;井冈山学院,数理学院,江西,吉安,343009 2. 四川师范大学,文理学院,四川,成都,610110 3. 四川师范大学,数学与软件科学学院,四川,成都,610066 |
| 基金项目： | 人事部归国留学人员基金 |
| 摘 要： | 运用Fourier变换和扰动方法研究了一类阻尼Boussinesq方程初边值问题的整体解.在一定条件下得到了这类Boussinesq方程在古典空间中整体解的存在唯一性和形式解的长时间渐近性. |
| 关 键 词： | Boussinesq方程 初边值问题 整体解 渐近性 |
| 文章编号： | 1001-8395（2007）03-0275-05 |
| 收稿时间： | 2005-11-01 |
| 修稿时间： | 2005-11-01 |
The Global Solution of a Damped Boussinesq Equation with Initial Boundary Conditions |
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| LIU Shi-huan,ZHONG Yue,HUANG Wen-yi,LAI Shao-yong.The Global Solution of a Damped Boussinesq Equation with Initial Boundary Conditions[J].Journal of Sichuan Normal University(Natural Science),2007,30(3):275-279. | |
| Authors: | LIU Shi-huan ZHONG Yue HUANG Wen-yi LAI Shao-yong |
| Abstract: | Making use of Fourier transformation and perturbation method, this paper deals with the global solution of initial boundary problem for a damped Boussinesq equation. Under certain assumptions, the existence and uniqueness of the global solution to the Boussinesq equation are established in a classical space. The long time asymptotic behavior of the formal approximation solution is discussed in detail. |
| Keywords: | Boussinesq equation Initial boundary problem Global solution Asymptotics |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |