一类阻尼Boussinesq方程初边值问题的整体解

The Global Solution of a Damped Boussinesq Equation with Initial Boundary Conditions

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.

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.