| 阻尼Boussinesq方程初边值问题解的渐近性 |
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| 引用本文： | 刘诗焕,朱先阳.阻尼Boussinesq方程初边值问题解的渐近性[J].云南大学学报(自然科学版),2012,0(6):621-628. |
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| 作者姓名： | 刘诗焕 朱先阳 |
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| 作者单位： | 井冈山大学数理学院 |
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| 基金项目： | 国家自然科学基金资助项目(11161024);吉安市指导性计划基金资助项目(吉市科计字[2011]32号) |
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| 摘 要： | 运用Fourier变换和扰动方法研究了一类广义阻尼Boussinesq方程初边值问题,在古典空间中得到了这类Boussinesq方程整体解的存在唯一性和形式解的长时间渐近性.
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| 关 键 词： | Boussinesq 方程 初边值问题 整体解 渐近性 |
The asymptotics of solution for a damped Boussinesq equation with initial boundary conditions |
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| LIU Shi-huan,ZHU Xian-yang.The asymptotics of solution for a damped Boussinesq equation with initial boundary conditions[J].Journal of Yunnan University(Natural Sciences),2012,0(6):621-628. |
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| Authors: | LIU Shi-huan ZHU Xian-yang |
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| Institution: | (School of Mathematics and Physics,Jinggangshan University,Ji’an 343009,China) |
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| Abstract: | By means of Fourier techniques and perturbation method,the existence and uniqueness of global solution for a generalized damped Boussinesq equation with initial boundary are established in a classical space.The long time asymptotic behavior of the formal approximation solution is obtained. |
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| Keywords: | Boussinesq equation initial boundary problem global solution asymptotics |
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