publication . Other literature type . Article . Research . 2012

Global existence and decay property of the Timoshenko system in thermoelasticity with second sound

Racke, Reinhard; Said-Hourari, Belkacem;
  • Published: 01 Sep 2012
  • Publisher: Elsevier BV
  • Country: Germany
Abstract
Abstract Our main focus in the present paper is to study the asymptotic behavior of a nonlinear version of the Timoshenko system in thermoelasticity with second sound. As it has been already proved in Said-Houari and Kasimov (2012)  [29] , the linear version of this system is of regularity-loss type. It is well known (Hosono and Kawashima (2006)  [34] , Ide and Kawashima (2008)  [27] , Kubo and Kawashima (2009)  [41] ) that the regularity-loss property of the linear problem creates difficulties when dealing with the nonlinear problem. In fact, the dissipative property of the problem becomes very weak in the high frequency region and as a result the classical ene...
Subjects
free text keywords: thermoelasticity, Thermoelastizität, Applied Mathematics, Analysis, Nonlinear system, Mathematical analysis, Asymptotic analysis, Energy method, Mathematical optimization, Dissipative system, Mathematics, Second sound, Linear problem, ddc:510
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publication . Other literature type . Article . Research . 2012

Global existence and decay property of the Timoshenko system in thermoelasticity with second sound

Racke, Reinhard; Said-Hourari, Belkacem;