Decay rates of the solution of the Cauchy thermoelastic Bresse system

被引：8
|
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.
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页数：21
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