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Exponential decay in a thermoelastic mixture of solids
Alves, M .S.; Rivera, J. E. Muñoz; Quintanilla, R.In this paper, we investigate the asymptotic behaviour of solutions to the initial boundary value problem for a one-dimensional mixture of thermoelastic solids. Our main result is to establish a necessary and sufficient condition over the coefficients of the system to get the exponential stability of the corresponding semigroup. We also prove the impossibility of time localization of solutions.
Non-Homogeneous Thermoelastic Timoshenko Systems
Alves, M. S.; Silva, M. A. Jorge; Ma, T. F.; Rivera, J. E. MuñozThe well-established Timoshenko system is characterized by a particular relation between shear stress and bending moment from its constitutive equations. Accordingly, a (thermal) dissipation added on the bending moment produces exponential stability if and only if the so called “equal wave speeds” condition is satisfied. This remarkable property extends to the case of non-homogeneous coefficients. In this paper...
Invariance of decay rate with respect to boundary conditions in thermoelastic T...
Rivera, J. E. Muñoz
Mindlin-Timoshenko systems with Kelvin-Voigt: analyticity and optimal decay rates
Rivera, J. E. Muñoz