A nonlinear thermoelastic system with nonlinear boundary conditions

被引：1
|
作者：
Clark, H. R. [1 ]
Clark, M. R. [2 ]
Louredo, A. T. [3 ]
Oliveira, A. M. [2 ]
机构：
[1] Univ Fed Fluminense, IME, Rio De Janeiro, RJ, Brazil
[2] Univ Fed Piaui, DM, Teresina, PI, Brazil
[3] Univ Estadual Paraiba, DM, Campina Grande, PB, Brazil
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2015年 / 15卷 / 04期
关键词：
Thermoelastic coupled system; Nonlinear boundary condition; Existence; Uniqueness and stabilization uniform of the solutions; ASYMPTOTIC STABILITY; ENERGY DECAY; STABILIZATION; EXISTENCE;
D O I：
10.1007/s00028-015-0286-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a mathematical treatment of a model for small vertical vibrations of an elastic membrane coupled with a heat equation and subject to nonlinear mixed boundary conditions. We establish the existence, uniqueness, and a uniform decay rate for global solutions to this nonlinear nonlocal thermoelastic coupled system under nonlinear boundary conditions.
引用
收藏
页码：895 / 911
页数：17
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