Exponential stabilization for porous elastic system with one boundary dissipation

被引：0
|
作者：
Ramos A.J.A. [1 ]
Júnior D.S.A. [2 ]
Freitas M.M. [1 ]
Santos M.J.D. [3 ]
Santos A.R. [4 ]
机构：
[1] Faculty of Mathematics, Federal University of Pará, Raimundo Santana Cruz Street, s/n, Salinópolis, 68721-000, Pa
[2] PhD Program in Mathematics, Federal University of Pará, Augusto Corrêa Street 01, Belém, 66075-110, Pa
[3] Faculty of Exact Sciences and Technology, Federal University of Pará, Manoel de Abre Street, s/n, Abaetetuba, 68440-000, Pa
[4] Faculty of Petroleum Engineering, Federal University of Pará, Raimundo Santana Cruz Street, s/n, Salinópolis, 68721-000, Pa
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2020年 / 66卷 / 1期
关键词：
Asymptotic behavior; Boundary feedback; Porous-elasticity;
D O I：
10.1007/s11565-019-00334-1
中图分类号：
学科分类号：
摘要：
In this paper, we consider the one-dimensional porous elastic system with mixed dissipation term at the point x= 0 acting only on the volumetric fraction of the system. We prove that the operator A associated with the problem is an infinitesimal generator of a C–semigroup of contractions and we prove the exponential stability if an important restriction is imposed on the constitutive coefficients. © 2020, Università degli Studi di Ferrara.
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页码：113 / 134
页数：21
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