A hierarchy of heat conduction laws

2022/07/04 by Filippo Dell’Oro, Dell'Oro, Filippo, Vittorino Pata +1
Engineering · Mathematics · Computer Science · #Thermoelastic and Magnetoelastic Phenomena #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2207.01428

Abstract

The purpose of this work is to produce a family of equations describing the evolution of the temperature in a rigid heat conductor. This is obtained by means of successive approximations of the Fourier law, via memory relaxations and integral perturbations.

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