Diffusion phenomena for partially dissipative hyperbolic systems

被引：5

作者：

Wirth, Jens ^{[1
,2
]}

机构：

[1] LMU Munchen, Math Inst, D-80339 Munich, Germany

[2] Univ Stuttgart, Inst Anal Dynam & Modellierung, D-70569 Stuttgart, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 414卷 / 02期

关键词：

Hyperbolic systems; Partial dissipation; Uniform Kalman rank condition; Diffusion phenomenon; WAVE-EQUATIONS;

D O I：

10.1016/j.jmaa.2014.01.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a partially dissipative hyperbolic system with time-dependent coefficients and show that under natural assumptions its solutions behave like solutions to a parabolic problem modulo terms of faster decay. This generalises the well-known diffusion phenomenon for damped waves and gives some further insights into the structure of dissipative hyperbolic systems. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：666 / 677

页数：12

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