Second order asymptotic expansion for wave equations with time-dependent dissipation in one-space dimension

被引：0

作者：

Wakasugi, Yuta ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Engn, Higashihiroshima 7398527, Japan

来源：

ASYMPTOTIC ANALYSIS FOR NONLINEAR DISPERSIVE AND WAVE EQUATIONS | 2019年 / 81卷

基金：

日本学术振兴会;

关键词：

Damped wave equations; time-dependent dissipation; second order asymptotics; SCALING VARIABLES; PROFILES; BEHAVIOR; DECAY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the Cauchy problem of the wave equation with time-dependent damping. We prove that if the damping is sufficiently strong, then the solution has the second order asymptotic expansion the same as the corresponding heat equation.

引用

页码：401 / 419

页数：19

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