一类具有记忆项的耦合方程组的全局吸引子

Global Attractors for a Class of Coupled Equations with Memorizing Terms

本文研究一类具有记忆项的耦合方程组的全局吸引子的问题.利用F aedo-Galerkin方法,获得方程的解的存在性,通过证明系统吸收集的存在性和半群S (t)的渐近紧性,进而证明方程组的全局吸引子的存在性.

In this paper, we study the problem of global attractors for a class of coupled equations with memory term. By using F aedo-Galerkin method, we obtain the existence of the solutions of the equations. By proving the existence of the system absorption set and the asymptotic compactness of the semigroup of S (T ),we further prove the existence of the global attractor for the equations.