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2002 Asymptotic analysis of a diffusive model for shape memory alloys with Cattaneo-Maxwell heat flux law
Elena Bonetti
Differential Integral Equations 15(5): 527-566 (2002).

Abstract

This work is concerned with a diffusive model for some austenite-martensite phase transition processes ruled by the Cattaneo-Maxwell heat flux law, namely assuming for the heat flux a relaxed version of the classical Fourier law. A rigorous asymptotic analysis of the macroscopic model is performed and it is shown that such model is nothing but a singular perturbation of the standard Frémond model for shape memory alloys. Convergence results are proved along with error estimates.

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Elena Bonetti. "Asymptotic analysis of a diffusive model for shape memory alloys with Cattaneo-Maxwell heat flux law." Differential Integral Equations 15 (5) 527 - 566, 2002.

Information

Published: 2002
First available in Project Euclid: 21 December 2012

zbMATH: 1018.74031
MathSciNet: MR1895895

Subjects:
Primary: 74N25
Secondary: 35Q72 , 80A22

Rights: Copyright © 2002 Khayyam Publishing, Inc.

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Vol.15 • No. 5 • 2002
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