Decay rates of the solution of the Cauchy thermoelastic Bresse system

被引：7

作者：

Afilal, Mounir ^{[1
]}

Merabtene, Tarek ^{[2
]}

Rhofir, Karim ^{[3
]}

Soufyane, Abdelaziz ^{[4
]}

机构：

[1] Univ Cadi Ayyad, Fac Polydisciplinaire Safi, Route Sidi Bouzid,BP 4162, Safi 46000, Morocco

[2] Univ Sharjah, Coll Engn, Dept Civil & Environm Engn, POB 27272, Sharjah, U Arab Emirates

[3] ENSA, Rue Beni Amir,BP 77, Khouribga, Morocco

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

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 05期

关键词：

Thermoelastic Bresse system; Decay rates; Fourier transform; Energy method; Lyapunov functional; DIMENSIONAL NONLINEAR THERMOELASTICITY; PARABOLIC COUPLED SYSTEMS; GLOBAL-SOLUTIONS; SMOOTH SOLUTIONS;

D O I：

10.1007/s00033-016-0712-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two Cauchy problems for the one-dimensional thermoelastic Bresse model. Using the energy method in the Fourier space, we show that for the first model, the L-2-norm of the solution decays with the rate (1 + t)(-1/12). In addition, the same decay rate has been obtained for the second model.

引用

页数：21

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