Exponential Decay Rates for a Full von Karman System of Dynamic Thermoelasticity

Explicit Exponential Decay Rates for Solutions of Von K Arm An's System of Thermoelastic Plates

{ We consider the von KK armm an system for a bounded smooth ther-moelastic plate clamped on its boundary. We prove explicit exponential decay rates showing that the energy of solutions corresponding to initial data of energy equal to R decays as t ! 1 like exp (?!t=(1 + R 2)) for some universal positive constant !. A energia total E(t) decai como exp (?!t=(1 + R 2)) quando t vai para +1 sendo ...

On (non-)exponential decay in generalized thermoelasticity with two temperatures

We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the exponential stability in the Green-Lindsay model, but the nonexponential stability for the Lord-Shulman model.

Exponential Decay in Nonsimple Thermoelasticity of Type Iii

This paper deals with the model proposed for nonsimple materials with heat conduction of type III. We analyze first the general system of equations, determine the behavior of its solutions with respect to the time and show that the semigroup associated with the system is not analytic. Two limiting cases of the model are studied later.

Sharp Decay Rates in Parabolic and Hyperbolic Thermoelasticity

Energy decay to Timoshenko's system with thermoelasticity of type III

L.H. Fatori a,∗, J.E. Muñoz Rivera b and R. Nunes Monteiro a a Department of Mathematics, Universidade Estadual de Londrina, Campus Universitário, Londrina, CEP 86.051-990, Paraná, Brazil E-mails: [email protected], [email protected] b National Laboratory of Scientific Computations, LNCC/MCT, Rua Getúlio Vargas 333, Quitandinha, Petrópolis, CEP 25651-070, RJ, Brazil and Instituto...