Boundary stabilization of memory type for the porous-thermo-elasticity system.
Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system.
Carleman estimates for the Euler-Bernoulli plate operator.
Comportamiento asintótico de las ecuaciones de la termoelasticidad generalizada.
In this paper it is first shown that the linear evolution equations for a generalized thermoelastic solid generate a C0 semigroup. Next an analysis of the long time evolution behaviour yields the some results known for classical thermoelasticity: generically, the natural state is asymptotically stable.
Discontinuities in an axisymmetric generalized thermoelastic problem.
Dynamic stabilization of systems via decoupling techniques
Dynamic stabilization of systems via decoupling techniques
We give sufficient conditions which allow the study of the exponential stability of systems closely related to the linear thermoelasticity systems by a decoupling technique. Our approach is based on the multipliers technique and our result generalizes (from the exponential stability point of view) the earlier one obtained by Henry et al.
Effect of rotation and relaxation times on plane waves in generalized thermo-visco-elasticity.
Ein Gewisses Randproblem aus der Theorie der Wärmeleitfähigkeit
Electronic properties of superconductor-semiconductor mesoscopic device.
Esistenza e unicità della soluzione nella statica di solidi termoelastici incomprimibili
In this work we prove that the thermoelastic equilibrium problem in the context of the linear theory for thermoelastic incompressible solids has one and only one solution.
Étude de deux schémas numériques pour les équations de la thermoélasticité
Exact relativistic theory of wave propagation in prestressed nonlinear elastic solids
Existence and uniqueness of solutions for a three-dimensional thermoelastic system [Book]
Existence theorem in the linear theory of multipolar elasticity
Exponential decay to partially thermoelastic materials
We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.
Exponential stability and global attractors for a thermoelastic bresse system.
Exponential stability for Timoshenko model with thermal effect
We performe an exponential decay analysis for a Timoshenko-type system under the thermal effect by constructing the Lyapunov functional. More precisely, this thermal effect is acting as a mechanism for dissipating energy generated by the bending of the beam, acting only on the vertical displacement equation, different from other works already existing in the literature. Furthermore, we show the good placement of the problem using semigroup theory.
Exponential stability of a von Kármán model with thermal effects.
Factor spaces and implications of Kirchhoff equations with clamped boundary conditions.