Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Linear stability for a thermoelectromagnetic material with memory


Author: Giovambattista Amendola
Journal: Quart. Appl. Math. 59 (2001), 67-84
MSC: Primary 35Q60; Secondary 35A05, 35B35, 78A25
DOI: https://doi.org/10.1090/qam/1811095
MathSciNet review: MR1811095
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Abstract: In this paper we study the behaviour of a three-dimensional linear thermoelectromagnetic material, which has constitutive equations with memory effects for both the heat flux and the electric current density. We develop a linearized theory of thermodynamics, in which context we are able to introduce a maximal free energy defined in the frequency domain. Using this free energy, a domain of dependence is obtained. Moreover, we prove a theorem of uniqueness, existence, and asymptotic stability.


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DOI: https://doi.org/10.1090/qam/1811095
Article copyright: © Copyright 2001 American Mathematical Society


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