A reaction-diffusion approximation of a semilinear wave equation
A reaction-diffusion approximation of a semilinear wave equation
复制标题
半线性波动方程的反应扩散近似
DOI：
10.1016/j.jde.2020.09.031
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发表时间：
2021
影响因子：
2.4
通讯作者：
Yamamoto Hiroko
中科院分区：
文献类型：
--
作者：
Ninomiya Hirokazu;Yamamoto Hiroko
半线性波动方程以有限速度传播，而抛物方程以无限速度传播。本文提出了一种近似于半线性波动方程解的反应扩散方程组，其解在若干反应项的假设下近似于半线性波动方程解。证明是基于能量法的。
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.