学术
一类阻尼Boussinesq方程初边值问题的整体解
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刘诗焕[1,2] 钟越[3] 黄文毅[1] 赖绍永[1]
[1]四川师范大学数学与软件科学学院,四川成都610066 [2]井冈山学院数理学院,江西吉安343009 [3]四川师范大学文理学院,四川成都610110
国际标准刊号：ISSN 1001-8395
国内统一刊号：CN 51-1295
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.[著者文摘]
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文章出处:
《四川师范大学学报：自然科学版》-2007年30卷3期 -275-279页
Journal of Sichuan Normal University(Natural Science)
分 类 号:
文献标识码:
A
文章编号:
1001-8395（2007）03-0275-05
[参考文献]
The Global Solution of a Damped Boussinesq Equation with Initial Boundary Conditions
LIU Shi-huan , ZHONG Yue , HUANG Wen-yi , LAI Shao-yong （ 1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan; 2. Department of Mathmatics and Physics, Jinggangshan College, Ji＇an 343009, Jiangxi ; 3. College of Arts and Science, Sichuan Normal University, Chengdu 610110, Sichuan）
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.[著者文摘]
Key words:
Boussinesq equation; Initial boundary problem; Global solution; Asymptotics
收稿日期: 2005-11-01
基金资助:
人事部归国留学人员基金资助项目
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