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, 34(6): 621-628.
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, 34(6): 621-628.
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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 Edition, 2012, 34(6): 621-628.
Citation: 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 Edition, 2012, 34(6): 621-628.
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阻尼Boussinesq方程初边值问题解的渐近性

The asymptotics of solution for a damped Boussinesq equation with initial boundary conditions

    摘要
  • 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.

     

    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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