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(Jan. 10) Long-time behaviour for a quasi-linear viscoelastic equation with nonlinear damping and memory

Last updated :2020-01-07

Topic: Long-time behaviour for a quasi-linear viscoelastic equation with nonlinear damping and memory
Speaker: Professor SHANG Yadong
(Guangzhou University)
Host: Professor YIN Zhaoyang
Time: 16:20-17:20, Friday, January 10, 2020
Venue: Room 416, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
In this talk, we consider the long time behaviour of a quasilinear viscoelatic equation with nonlinear damping.Firstly, we apply Galerkin method to prove the global existence and uniqueness of weak solutions.Then, we obtain the decay estimate for the energy of solutions by using energy perturbation. Finally, we apply the stability inequality to show the existence of a global attractor. This work joint with Dr. Xiaoming Peng.