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The global attractor of nonlinear thermoelastic coupled Sine-Gordon system

Zhang Jian-Wen Ren Yong-Hua Wu Run-Heng Feng Tao

The global attractor of nonlinear thermoelastic coupled Sine-Gordon system

Zhang Jian-Wen, Ren Yong-Hua, Wu Run-Heng, Feng Tao
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  • Abstract views:  1838
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  • Received Date:  20 September 2011
  • Accepted Date:  05 June 2012
  • Published Online:  05 June 2012

The global attractor of nonlinear thermoelastic coupled Sine-Gordon system

  • 1. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China;
  • 2. College of Science, North China University of Technology, Beijing 100041, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 10772131), the Natural Science Foundation of Shanxi Province, China (Grant No. 2010011008), and the Natural Science Foundation for Young Scientists of Shanxi Province, China (Grant No. 2011021002-2).

Abstract: The dynamical behavior of a class of coupled system to the Sine-Gordon equations with the Peierls-Nabarro force is considered in this paper. First, the existence of the continuous solution is shown in the semi-group approach, under the certain initial-boundary value condition. Then, using the decomposing technique of semi-group, we construct the compact positively invariant sets, and the global attractor is proved.

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