A Phase-Field Model Based on a Three-Phase-Lag Heat Conduction

A Phase-Field Model Based on a Three-Phase-Lag Heat Conduction Our aim in this article is to study a phase-field system based on a three-phase-lag for the thermal flux vector. In particular, we prove the existence and uniqueness of solutions and then study the spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

A Phase-Field Model Based on a Three-Phase-Lag Heat Conduction

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Publisher
Springer-Verlag
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Mathematics; Numerical and Computational Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-010-9114-9
Publisher site
See Article on Publisher Site

Abstract

Our aim in this article is to study a phase-field system based on a three-phase-lag for the thermal flux vector. In particular, we prove the existence and uniqueness of solutions and then study the spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Feb 1, 2011

References

  • Long-time convergence of solutions to a phase-field system
    Aizicovici, S.; Feireisl, E.; Issard-Roch, F.

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