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On the non uniform decay of the energy in the system of linear thermoelasticity. (Sur la décroissance non uniforme de l’énergie dans le système de la thermoélasticité linéaire.) (French. Abridged English version) Zbl 0873.35011
Summary: We consider the 3-$$d$$ system of linear thermoelasticity in a bounded, smooth domain with homogeneous Dirichlet boundary conditions. It is well-known that the energy of every solution tends to zero if and only if the linear system of elasticity does not admit any divergence-free eigenfunction. In the class of domains satisfying this property we prove, in particular, that when the domain is convex, the rate of decay is not uniform.

##### MSC:
 35B40 Asymptotic behavior of solutions to PDEs 35Q72 Other PDE from mechanics (MSC2000)
##### Keywords:
homogeneous Dirichlet boundary conditions
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