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 Uniform stabilization for the transmission problem of the Timoshenko system with memory(Journal of Mathematical Analysis and Applications, 2010-09-01) Alves, Margareth S.; Raposo, Carlos Alberto; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio A.; Villagrán, Octavio Paulo VeraIn this paper we study the transmission for a partially viscoelastic beam, that is, a beam which is composed of two components, elastic and viscoelastic. In the rotation angle of the filaments of the beam, ψ1(x,t) and ψ2(x,t), the dissipation is occasioned by the memory effect. In the transverse vibrations ϕ1(x,t) and ϕ2(x,t) we do not have dissipation and the system is purely elastic. For this type of beam we show the uniform stabilization, i.e., the rate of decay has directly relation with the velocity of the relaxation function.Item Analyticity and smoothing effect for the coupled system of equations of Korteweg-de vries type with a single point singularity(Acta Applicandae Mathematicae, 2011-01) Alves, Margareth S.; Calsavara, Bianca M. R.; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio; Villagrán, Octavio VeraUsing Bourgain spaces and the generator of dilation P=3t ∂ t +x ∂ x , which almost commutes with the linear Korteweg-de Vries operator, we show that a solution of the initial value problem associated for the coupled system of equations of Korteweg-de Vries type which appears as a model to describe the strong interaction of weakly nonlinear long waves, has an analyticity in time and a smoothing effect up to real analyticity if the initial data only have a single point singularity at x=0.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.