Nonlinear Evolution Equations in Thermoelasticity

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1996
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Zusammenfassung

In this note we report on different thermoelastic systems. They are models for the description of elastic, heat conductive media. Depending on the choice of the elastic part we will consider a coupled parabolic-weakly parabolic system (e.g. a thermoelastic plate), or a coupled parabolic-2nd-order hyperbolic system (e.g. a thermoelastic membrane) with or without viscous effects. We are interested in both the linearized and the nonlinear system, looking for a description of the asymptotic behavior of smooth solutions, for smoothing effects of the system, and, specifically for the nonlinear system, for the global existence in time of solutions.

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510 Mathematik
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ISO 690RACKE, Reinhard, 1996. Nonlinear Evolution Equations in Thermoelasticity
BibTex
@unpublished{Racke1996Nonli-725,
  year={1996},
  title={Nonlinear Evolution Equations in Thermoelasticity},
  author={Racke, Reinhard}
}
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