Global existence and energy decay of solutions for a system of nonlinear wave equations with nonlinear damping

ZHOU Jun; CHEN Kailun

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Global existence and energy decay of solutions for a system of nonlinear wave equations with nonlinear damping

ZHOU Jun *,CHEN Kailun

School of Mathematics and Statistics, Southwest University, Chongqing, 400715

*Correspondence author

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Funding: none

Opened online:14 March 2023

Accepted by: none

Citation: ZHOU Jun,CHEN Kailun.Global existence and energy decay of solutions for a system of nonlinear wave equations with nonlinear damping[OL]. [14 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759320

A system of nonlinear wave equations with nonlinear damping was considered in this paper. By using some ordinary differential inequities and energy methods, the existence of global solutions and the decay of the corresponding energy functional were studied.

Keywords:Partial differential equation, Nonlinear wave equations, nonlinear damping, global existence, decay

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