Energy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary

Date

2020-09-17

Authors

Hao, Jianghao
Lv, Mengxian

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study a variable coefficients viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. By constructing suitable Lyapunov functionals and using the energy compensation method, we prove that under suitable conditions on the initial data and the relaxation function, the energy of the system has an explicit and general decay rate.

Description

Keywords

Variable coefficients, Viscoelastic wave equation, Acoustic boundary conditions, Nonlocally reacting boundary

Citation

Hao, J., & Lv, M. (2020). Energy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. <i>Electronic Journal of Differential Equations, 2020</i>(95), pp. 1-13.

Rights

Attribution 4.0 International

Rights Holder

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights License