Existence and General Energy Decay of Solutions to a Coupled System of Quasi-Linear Viscoelastic Variable Coefficient Wave Equations with Nonlinear Source Terms

Existence and General Energy Decay of Solutions to a Coupled System of Quasi-Linear Viscoelastic Variable Coefficient Wave Equations with Nonlinear Source Terms

Viscoelastic damping phenomena are ubiquitous in diverse kinds of wave motions of nonlinear media. This arouses extensive interest in studying the existence, the finite time blow-up phenomenon and various large time behaviors of solutions to viscoelastic wave equations. In this paper, we are concern...

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Bibliographic Details
Main Authors: Chengqiang Wang, Can Wang, Xiangqing Zhao, Zhiwei Lv
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Axioms
Subjects:
existence results
general energy decay
quasi-linear wave equations
variable coefficient wave equations
viscoelastic damping
Online Access:https://www.mdpi.com/2075-1680/12/8/780

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