Artigos
URI permanente para esta coleçãohttps://locus.ufv.br/handle/123456789/11799
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Item Stabilization of mixture of two rigid solids modeling temperature and porosity(Applied Mathematics Letters, 2012-05) Alves, Margareth S.; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio; Villagrán, Octavio P. VeraIn this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a mixture of two rigid solids modeling temperature and porosity. Our main result is to establish conditions which ensure the analyticity and the exponential stability of the corresponding semigroup.Item Exponential stability in thermoviscoelastic mixtures of solids(International Journal of Solids and Structures, 2009-12-01) Alves, Margareth S.; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio A.; Villagrán, Octavio Paulo VeraIn this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the corresponding semigroup.Item Non-Homogeneous Thermoelastic Timoshenko Systems(Bulletin of the Brazilian Mathematical Society, New Series, 2017-09) 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, we consider a non-homogeneous thermoelastic system with dissipation restricted to the shear stress. To this new problem, by means of a delicate control observability analysis, we prove that a local version of the equal wave speeds condition is sufficient for the exponential stability of the system. Otherwise, we study the polynomial stability of the system with decay rate depending on the regularity of initial data.Item Stabilization of a system modeling temperature and porosity fields in a Kelvin–Voigt-type mixture(Acta Mechanica, 2011-06) Alves, Margareth S.; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio; Vera, OctavioIn this paper, we investigate the asymptotic behavior of solutions to the initial boundary value problem for the interaction between the temperature field and the porosity fields in a homogeneous and isotropic mixture from the linear theory of porous Kelvin–Voigt materials. Our main result is to establish conditions which insure the analyticity and the exponential stability of the corresponding semigroup. We show that under certain conditions for the coefficients we obtain a lack of exponential stability. A numerical scheme is given.Item About analyticity for the coupled system of linear thermoviscoelastic equations(Applied Mathematics and Computation, 2015-11-01) Alves, Margareth S.; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio; Vera, OctavioIn this paper we consider the classical linear theory of thermoviscoelasticity for inhomogeneous and anisotropic materials in three dimensional space. We show that under suitable conditions, the semigroup associated with the system of the viscoelastic equation of motion coupled with the parabolic equation of energy is analytic.