Some remarks on the model of rigid heat conductor with memory: unbounded heat relaxation function [PDF]
, 2019 The model of rigid linear heat conductor with memory is reconsidered focussing the interest on the heat relaxation function. Thus, the definitions of heat flux and thermal work are revised to understand where changes are required when the heat flux ...
Carillo, Sandra
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Well-posedness and exponential decay for a laminated beam with distributed delay term [PDF]
, 2022 In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier’s law effective in the rotation angle ...
Abdelhak DJEBABLA, Abdelhak DJEBABLA +2 more
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Fast spatial behavior in higher order in time equations and systems [PDF]
, 2022 In this work, we consider the spatial decay for high-order parabolic (and combined with a hyperbolic) equation in a semi-infinite cylinder. We prove a Phragmén-Lindelöf alternative function and, by means of some appropriate inequalities, we show that the
Fernández, Jose R. +1 more
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A dynamic electroviscoelastic problem with thermal effects [PDF]
, 2021 We consider a mathematical model which describes the dynamic process of contact between a piezoelectric body and an electrically conductive foundation. We model the material’s behavior with a nonlinear electro-viscoelastic constitutive law with thermal ...
LEBRI, Nemira, SMATA, Sihem
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Recovery of a space-dependent vector source in thermoelastic systems [PDF]
, 2014 In this contribution, an inverse problem of determining a space-dependent vector source in a thermoelastic system of type-I, type-II and type-III is studied using information from a supplementary measurement at a fixed time.
Slodicka, Marian, Van Bockstal, Karel
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On the M\"uller paradox for thermal-incompressible media [PDF]
, 2011 In his monograph Thermodynamics, I. M\"uller proves that for incompressible media the volume does not change with the temperature. This M\"uller paradox yields an incompatibility between experimental evidence and the entropy principle.
Gouin, Henri +2 more
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Numerical resolution of an exact heat conduction model with a delay term [PDF]
, 2019 In this paper we analyze, from the numerical point of view, a dynamic thermoelastic problem. Here, the so-called exact heat conduction model with a delay term is used to obtain the heat evolution.
Campo, Marco +2 more
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On the existence and decay in a new thermoelastic theory with two temperatures [PDF]
, 2022 In this work, we study a new two-temperatures thermoelastic model. Both thermodynamic and conductive temperatures are included, being related by means of an elliptic or parabolic equation.
Fernández, Jose R. +3 more
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n2 of dissipative couplings are sufficient to guarantee the exponential decay in elasticity [PDF]
, 2022 In this paper, we prove that the solutions to the problem determined by an elastic material with n2 coupling dissipative mechanisms decay in an exponential way for every (bounded) geometry of the body, where n is the dimension of the domain, and whenever
Fernández García, José Ramon +1 more
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Multidimensional Thermoelasticity for Nonsimple Materials -- Well-Posedness and Long-Time Behavior [PDF]
, 2016 An initial-boundary value problem for the multidimensional type III thermoelaticity for a nonsimple material with a center of symmetry is considered. In the linear case, the well-posedness with and without Kelvin-Voigt and/or frictional damping in the ...
Anikushyn, Andrii, Pokojovy, Michael
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