Boundary Stabilization of Memory Type for the Porous-Thermo-Elasticity System

Soufyane, Abdelaziz; Afilal, Mounir; Chacha, Mama
January 2009
Abstract & Applied Analysis;2009, Special section p1
Academic Journal
We consider the one-dimensional viscoelastic Porous-Thermo-Elastic system. We establish a general decay results. The usual exponential and polynomial decay rates are only special cases


Related Articles

  • Time Asymptotic Behaviour for a One-Velocity Transport Operator with Maxwell Boundary Condition. Aref Jeribi; Sid Ould Ahmed Mahmoud; Ridha Sfaxi // Acta Applicandae Mathematica;Sep2007, Vol. 98 Issue 3, p163 

    Abstract   This paper is concerned with the spectral analysis of a one-velocity transport operator with Maxwell boundary condition in L 1-space. After a detailed spectral analysis it is shown that the associated Cauchy problem is governed by a C 0-semigroup. Next, we discuss the...

  • On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type. Jorge Silva, M. A.; Ma, T. F. // IMA Journal of Applied Mathematics;Dec2013, Vol. 78 Issue 6, p1130 

    This paper is concerned with a class of plate equations with memory in a history space setting and perturbations of p-Laplacian type defined in a bounded domain of with simply supported boundary condition. Results on the well-posedness and asymptotic stability of the problem are proved.

  • Wave energy decay under fractional derivative controls. MBODJE, BRAHIMA // IMA Journal of Mathematical Control & Information;Jun2006, Vol. 23 Issue 2, p237 

    In this article, we investigate the asymptotic behaviour of solutions of the 1D wave equation with a boundary viscoelastic damper of the fractional derivative type. We show that the system is well-posed in the sense of semigroup. We also prove that the associated semigroup is not exponentially...

  • Semigroup Estimates and Noncoercive Boundary Value Problems. Dore, Giovanni; Yakubov, Sasun // Semigroup Forum;2000, Vol. 60 Issue 1, p93 

    In this paper we find conditions that guarantee that irregular boundary value problems of the second order for elliptic differential-operator equations with a parameter in an interval are coercive with a defect. We also prove the compactness of the resolvent, estimates with respect to a spectral...

  • Analytic Semigroups on C[0, 1] Generated by Some Classes of Second Order Differential Operators. Favini, Angelo; Romanelli, Silvia // Semigroup Forum;1998, Vol. 56 Issue 3, p362 

    If a, β ∈ C[0,1], a > 0 in (0,1) and a(0) = 0 = a(1), we consider the second order differential operator on C[0, 1] defined by Au := au"+βu', where D(A) may include Wentzell boundary conditions. Under integrability conditions involving squareroot of a and [multiple line equation...

  • Stabilization of a system modeling temperature and porosity fields in a Kelvin-Voigt-type mixture. Alves, Margareth; Rivera, Jaime; Sepúlveda, Mauricio; Vera, Octavio // Acta Mechanica;Jun2011, Vol. 219 Issue 1/2, p145 

    In 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...

  • Stress Distributions Due to a Concentrated Force on Viscoelastic Half-Space. Yun Peng; Debao Zhou // Journal of Computation & Modeling;2012, Vol. 2 Issue 3, p51 

    A model of a viscoelastic infinite half-space with a concentrated tangential force applied on the boundary, namely, the viscoelastic Cerruti's problem, is presented in this paper, with the derivation of the stress distributions by applying the elastic-viscoelastic correspondence principle to the...

  • Solutions for a viscoelastic axisymmetric plane problem involving time-dependent boundary regions under mixed boundary condition. Wang, H.; Nie, G. // Acta Mechanica;Jan2011, Vol. 216 Issue 1-4, p59 

    The stress and displacement fields for a viscoelastic axisymmetric plane problem involving time-dependent boundary regions under mixed boundary condition are presented in this paper. The viscoelastic fields are determined by solving two unknown functions; one is governed by a resulting second...

  • Weyl Asymptotic Formula for the Laplacian on Domains with Rough Boundaries. Netrusov, Yu.; Safarov, Yu. // Communications in Mathematical Physics;Jan2005, Vol. 253 Issue 2, p481 

    We study asymptotic distribution of eigenvalues of the Laplacian on a bounded domain in R n. Our main results include an explicit remainder estimate in the Weyl formula for the Dirichlet Laplacian on an arbitrary bounded domain, sufficient conditions for the validity of the Weyl formula for the...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics