Nonlocal temperature-dependent phase-field models for non-isothermal phase transitions
Please always quote using this URN:urn:nbn:de:0296-matheon-3497
- We propose a model for non-isothermal phase transitions with non-conserved order parameter driven by a spatially nonlocal free energy with respect to both the temperature and the order parameter. The resulting system of equations is shown to be thermodynamically consistent and to admit a strong solution.
Author: | Pavel Krejci, Elisabetta Rocca, Jürgen Sprekels |
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URN: | urn:nbn:de:0296-matheon-3497 |
Referee: | Fredi Tröltzsch |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2006/12/19 |
Release Date: | 2006/12/19 |
Tag: | |
Institute: | Freie Universität Berlin |
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) | |
MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Bxx Qualitative properties of solutions / 35B50 Maximum principles |
45-XX INTEGRAL EQUATIONS / 45Kxx Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] / 45K05 Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] | |
80-XX CLASSICAL THERMODYNAMICS, HEAT TRANSFER (For thermodynamics of solids, see 74A15) / 80Axx Thermodynamics and heat transfer / 80A22 Stefan problems, phase changes, etc. [See also 74Nxx] | |
Preprint Number: | 362 |