周期边界条件下B-BBM方程的整体吸引子

Attactor of B-BBM Equation with Periodic Boundary Conditions

本文研究了周期边界条件下B BBM方程 : u t-δ 3 u x2 t-α 2 u x2 +g(u) x+γu=f(x)的长时间动力学行为 。

In this paper,the long thme behavior of solution for B-BBM equation with periodic boundary condition:ut-δ 3ux 2t-α 2ux 2+g(u) x+γu=f(x) is studied.The existence uniqueness of solution,existence of global attractor for the above problem are proved.