Existence of Global Attractor for Weakly Damped FDS Nonlinear Wave Equations  

作　　者：Boling Guo Ying Zhang 

机构地区：[1]Institute of Applied Physics and Computational Mathematics,Beijing 100088,China [2]The Graduate School of China Academy of Engineering Physics,Beijing 100088,China

出　　处：《Annals of Applied Mathematics》2024年第4期333-345,共13页应用数学年刊(英文版)

摘　　要：The paper investigates the well-posedness of global solutions and the existence of global attractors for weakly damped FDS nonlinear wave equations.It establishes the well-posedness of weak solutions using Galerkin approximation and a priori estimate.Subsequently,a dynamical system is constructed based on the well-posedness of the solution.The existence of a bounded absorbing set for the equations and the smooth properties of the operator semigroup are presented,leading to the existence of a global attractor.

关 键 词：Global attractors a priori estimate FDS nonlinear wave equations 

分 类 号：O175.2[理学—数学]