Uniform decay rates of a Bresse thermoelastic system in the whole space

被引：0

作者：

Afilal, Mounir ^{[1
]}

Feng, Baowei ^{[2
]}

Soufyane, Abdelaziz ^{[3
]}

机构：

[1] Univ Cadi Ayyad, Dept Math & Informat, Fac Polydisciplinaire Safi, Marrakech, Morocco

[2] Southwestern Univ Finance & Econ, Dept Math, Chengdu, Peoples R China

[3] Univ Sharjah, Coll Sci, Dept Math, POB 27272, Sharjah, U Arab Emirates

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 16期

关键词：

Bresse system; energy method; Lyapunov functional; REGULARITY-LOSS TYPE; TIMOSHENKO SYSTEM; PROPERTY;

D O I：

10.1002/mma.8362

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the decay properties of the thermoelastic Bresse system in the whole space. We consider many cases depending on the parameters of the model, and we establish new decay rates. We need to mention here that in some cases, we don't have the regularity-loss phenomena as in the previous works in the literature. To prove our results, we use the energy method in the Fourier space to build a very delicate Lyapunov functionals that give the desired results.

引用

页码：10201 / 10217

页数：17

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