Convergence and stability analyses of hierarchic models of dissipative second order evolution equations

被引：5
作者：
Nicaise, Serge [1 ]
机构：
[1] Univ Valenciennes & Hainaut Cambresis, Inst Sci & Tech Valenciennes, FR CNRS 2956, LAMAV, F-59313 Valenciennes 9, France
来源：
COLLECTANEA MATHEMATICA | 2017年 / 68卷 / 03期
关键词：
Model reduction; Stabilization; Convergence; DYNAMIC BOUNDARY-CONDITIONS; WAVE-EQUATION; THIN DOMAINS; DECOMPOSITION; STABILIZATION; APPROXIMATION; REGULARITY; REDUCTION;
D O I：
10.1007/s13348-017-0192-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We perform some hierarchical analyses of dissipative systems. For that purpose, we first propose a general abstract setting, prove a convergence result and discuss some stability properties. This abstract setting is then illustrated by significant examples of damped (acoustic) wave equations for which we characterize the family of reduced problems. For each concrete problems the decay of the energy is discussed and the density assumption is proved.
引用
收藏
页码：433 / 462
页数：30
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