A reaction-diffusion approximation of a semilinear wave equation

A semilinear wave equation possesses propagation with a finite speed, while a parabolic equation has propagation with infinite speed. This paper proposes a reaction-diffusion system whose solutions approximate those of a semilinear wave equation under some assumptions of a reaction term. The proof is based on the energy method. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

This paper introduces a reaction-diffusion system whose solutions approximate those of a semilinear wave equation under certain assumptions of a reaction term, with the proof based on the energy method.