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.
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页码：666 / 677
页数：12
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