The Asymptotic Behavior Of Solution For The IBq Equation With Stokes Damped Term

We consider the asymptotic profiles of the Cauchy problem to the Boussinesq equation with Stokes damped term in the case that the initial data are small. First, we apply Fourier transform and Duhamel principle to its equivalent integral equa-tion, then we get the asymptotic profiles of the solution which is based on the [1]. [1] has proved the global existence and decay estimate of the solution. Moreover,we get more detailed information such as the contribution of the nonlinear term to the solution as tâ†'∞...