In this article we study a thermoelastic system considering the linearized model proposed by Gurtin and Pipkin [8] instead of the Fourier's law for the heat flux. We use theory of semigroups [9, 11] combining Pruss' Theorem [10] and the idea developed in [5] to show that the system is not exponentially stable
In correcting a small mistake in [10], we can prove a new result on on-exponential stability for a c...
We consider a coupled linear system describing a thermoviscoelastic plate with hereditary effects. T...
In this paper, we investigate the asymptotic behaviour of solutions to the initial boundary value pr...
AbstractWe analyze the longterm properties of a C0-semigroup describing the solutions to a linear ev...
Some linear evolution problems arising in the three-dimensional theory of thermoviscoelasticity wit...
We prove that the non-simple thermoelastic model, with Cattaneo's or Gurtin-Pipkin's law, is indiff...
We analyze the stability properties of a linear thermoelastic Timoshenko-Gurtin-Pipkin system with t...
This paper is concerned with the asymptotic behavior in time of solutions to a linear problem arisi...
We consider a linear model of a thermoelastic plate where the heat flux depends solely on the past h...
We investigate different and new thermoelastic Timoshenko systems with or without history, and with...
This paper concerns a linear porous thermoelastic system, where the heat conduction is given by Catt...
This is the peer reviewed version of the following article: Magaña, A., and Quintanilla, R. (2016) E...
Abstract. We consider a coupled linear system describing a thermoviscoelastic plate with hereditary ...
We investigate the well-posedness, the exponential stability, or the lack thereof, of thermoelastic ...
We show herein the uniform stability of a thermoelastic plate model with no added dissipative mechan...
In correcting a small mistake in [10], we can prove a new result on on-exponential stability for a c...
We consider a coupled linear system describing a thermoviscoelastic plate with hereditary effects. T...
In this paper, we investigate the asymptotic behaviour of solutions to the initial boundary value pr...
AbstractWe analyze the longterm properties of a C0-semigroup describing the solutions to a linear ev...
Some linear evolution problems arising in the three-dimensional theory of thermoviscoelasticity wit...
We prove that the non-simple thermoelastic model, with Cattaneo's or Gurtin-Pipkin's law, is indiff...
We analyze the stability properties of a linear thermoelastic Timoshenko-Gurtin-Pipkin system with t...
This paper is concerned with the asymptotic behavior in time of solutions to a linear problem arisi...
We consider a linear model of a thermoelastic plate where the heat flux depends solely on the past h...
We investigate different and new thermoelastic Timoshenko systems with or without history, and with...
This paper concerns a linear porous thermoelastic system, where the heat conduction is given by Catt...
This is the peer reviewed version of the following article: Magaña, A., and Quintanilla, R. (2016) E...
Abstract. We consider a coupled linear system describing a thermoviscoelastic plate with hereditary ...
We investigate the well-posedness, the exponential stability, or the lack thereof, of thermoelastic ...
We show herein the uniform stability of a thermoelastic plate model with no added dissipative mechan...
In correcting a small mistake in [10], we can prove a new result on on-exponential stability for a c...
We consider a coupled linear system describing a thermoviscoelastic plate with hereditary effects. T...
In this paper, we investigate the asymptotic behaviour of solutions to the initial boundary value pr...