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

  • Weike WANG ,
  • Rui XUE
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  • 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

Received date: 2018-03-29

  Revised date: 2019-04-02

  Online published: 2019-12-30

Supported by

The first author is supported by National Natural Science Foundation of China (11771284).

Abstract

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.

Cite this article

Weike WANG , Rui XUE . DECAY ESTIMATE AND GLOBAL EXISTENCE OF SEMILINEAR THERMOELASTIC TIMOSHENKO SYSTEM WITH TWO DAMPING EFFECTS[J]. Acta mathematica scientia, Series B, 2019 , 39(6) : 1461 -1486 . DOI: 10.1007/s10473-019-0601-z

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