关键词: 指数衰退, 黏弹性, 强阻尼, 波动方程组

Abstract:

The aim of this paper is to investigated the initial boundary value problem for a system of nonlinear wave equations involving strong damping terms. The authors constructed an energy functional and studied the properties of the functional in view of the character of the system. With the above results, integral estimates and Poincaré’s inequality, an exponentially decay result of the solutions to the problem was obtained under suitable assumptions.

Key words: exponential decay, viscoelastic, strong damping, wave systems