具黏性阻尼项拟线性波动方程的整体吸引子

Global Attractor for Quasi-linear Wave Equations with Viscous Damping

研究了一类具黏性阻尼项拟线性波动方程初边值问题解的长时间行为.利用半群的方法,得到:在一定条件下,所研究的初边值问题对应的动力系统在不同的相空间下具有整体吸引子.

This paper studies the longtime behavior of solutions to initial boundary value problem（IBVP） for quasi -linear wave equations with viscous damping. By combining the idea with the operate technique, it proves that under rather mild conditions, the dynamical system associated with above -mentioned IBVP possesses in different phase spaces a global attractor which is connected, respectively.