DECAY ESTIMATE AND GLOBAL EXISTENCE OF SEMILINEAR THERMOELASTIC TIMOSHENKO SYSTEM WITH TWO DAMPING EFFECTS  

作　　者：Weike WANG Rui XUE 王维克;薛锐(School of Mathematical Sciences&Institute of Natural Sciences,Shanghai Jiao Tong University,Shanghai 200240,China;School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]School of Mathematical Sciences&Institute of Natural Sciences,Shanghai Jiao Tong University,Shanghai 200240,China [2]School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Acta Mathematica Scientia》2019年第6期1461-1486,共26页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China(11771284)

摘　　要：In this paper, we study a semilinear Timoshenko system with heat conduction having two damping effects. The observation that two damping effects might lead to smaller decay rates for solutions in comparison to one damping effect is rigorously proved here in providing optimality results. Moreover, the global well-posedness for small data is presented.In this paper, we study a semilinear Timoshenko system with heat conduction having two damping effects. The observation that two damping effects might lead to smaller decay rates for solutions in comparison to one damping effect is rigorously proved here in providing optimality results. Moreover, the global well-posedness for small data is presented.

关 键 词：SEMILINEAR TIMOSHENKO system heat conduction damping optimal decay rate eigenvalue expansion method 

分 类 号：O17[理学—数学]