Now showing items 1-10 of 10

• #### Analyticity of solutions in type III thermoelastic plates ﻿

(2010-06-01)
Article
Restricted access - publisher's policy
In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this ...
• #### Analyticity of solutions in type III thermoelastic plates [republished article] ﻿

(2010-08-01)
Article
Restricted access - publisher's policy
In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this ...
• #### Dual-phase-lag heat conduction with microtemperatures ﻿

(2021-07-14)
Article
Restricted access - publisher's policy
In this paper, we propose a system of equations governing the dual-phase-lag heat conduction with microtemperatures. Several conditions on the coefficients are imposed so that the energy of the system is positive definite ...
• #### Dual-phase-lag one-dimensional thermo-porous-elasticity with microtemperatures ﻿

(2021-09)
Article
Open Access
This paper is devoted to studying the linear system of partial differential equations modelling a one-dimensional thermo-porous-elastic problem with microtemperatures in the context of the dual-phase-lag heat conduction. ...
• #### Energy decay rate of a mixed type II and type III thermoelastic system ﻿

(2010-11-01)
Article
Restricted access - publisher's policy
In this paper, we study the energy decay rate for a mixed type II and type III thermoelastic system. The system consist of a wave equation and a heat equation of type II in another part of the domain, coupled in certain ...
• #### On the phase-lag with equation with spatial dependent lags ﻿

(2017-11-01)
Article
Open Access
In this paper we investigate several qualitative properties of the solutions of the dual-phase-lag heat equation and the three-phase-lag heat equation. In the first case we assume that the parameter tTtT depends on the ...
• #### On the regularity and stability of the dual-phase-lag equation ﻿

(Elsevier, 2020-02)
Article
Open Access
In this note we consider the following linear partial different equation which is usually seen as an approximation to the dual-phase-lag heat equation proposed by Tzou.  \dot {T}+\tau_q \ddot {T}+\frac{\tau_{q}^{2}}{ ...
• #### On the regularity and stability of three-phase-lag thermoelastic plate ﻿

(2021-02-25)
Article
Restricted access - publisher's policy
In this paper we consider the following three-phase-lag thermoelastic plate u = ¿ ( u ¿ m ); c( _ + q ) = m (u_ + qu ) + (k + + k _): We obtain analyticity and exponential stability for the ...
• #### On the time decay of solutions for non-simple elasticity with voids ﻿

(Wiley-VCH, 2016-07-01)
Article
Open Access
In this work we consider the non-simple theory of elastic material with voids and we investigate how the coupling of these two aspects of the material affects the behavior of the solutions. We analyze only two kind of ...
• #### Time decay in dual-phase-lag thermoelasticity: critical case  ﻿

(2018-01-01)
Article
Open Access
This note is devoted to the study of the time decay of the onedimensional dual-phase-lag thermoelasticity. In this theory two delay parameters tq and t¿ are proposed. It is known that the system is exponentially stable if ...