Uniform and weak stability of Bresse system with two infinite memories

被引：28
作者：
Guesmia, Aissa [1 ]
Kirane, Mokhtar [2 ]
机构：
[1] Univ Lorraine, UMR 7502, Inst Elie Cartan Lorraine, Bat A, F-57045 Metz 01, France
[2] Univ Rochelle, Pole Sci & Technol, Fac Sci, LaSIE, La Rochelle, France
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 05期
关键词：
Bresse system; Infinite memory; Well-posedness; Asymptotic behavior; Semigroup theory; Energy method; DECAY-RATE; ASYMPTOTIC STABILITY; BEHAVIOR; RATES;
D O I：
10.1007/s00033-016-0719-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider one-dimensional linear Bresse systems in a bounded open domain under Dirichlet-Neumann-Neumann boundary conditions with two infinite memories acting only on two equations. First, we establish the well-posedness in the sense of semigroup theory. Then, we prove two (uniform and weak) decay estimates depending on the speeds of wave propagations, the smoothness of initial data and the arbitrarily growth at infinity of the two relaxation functions.
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页数：39
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