×

Existence, uniqueness and asymptotic stability for a three-dimensional model of a thermoelectromagnetic material. (English) Zbl 1213.74026

Summary: In this work we consider the linear theory of the Thermodynamics of a conductor, characterized by Fourier’s law for the heat flux and by a constitutive equation for the electric current density, that has memory effects together with those given by the actual action of the electric field. We prove uniqueness, existence and asymptotic stability theorems for the three-dimensional model.

MSC:

74A15 Thermodynamics in solid mechanics
74F15 Electromagnetic effects in solid mechanics
74H20 Existence of solutions of dynamical problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
78A55 Technical applications of optics and electromagnetic theory
80A20 Heat and mass transfer, heat flow (MSC2010)
PDFBibTeX XMLCite