Differential and Integral Equations
- Differential Integral Equations
- Volume 15, Number 5 (2002), 527-566.
Asymptotic analysis of a diffusive model for shape memory alloys with Cattaneo-Maxwell heat flux law
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.
Differential Integral Equations, Volume 15, Number 5 (2002), 527-566.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 74N25: Transformations involving diffusion
Secondary: 35Q72 80A22: Stefan problems, phase changes, etc. [See also 74Nxx]
Bonetti, Elena. Asymptotic analysis of a diffusive model for shape memory alloys with Cattaneo-Maxwell heat flux law. Differential Integral Equations 15 (2002), no. 5, 527--566. https://projecteuclid.org/euclid.die/1356060829