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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.

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Metadaten
Author:Pavel Krejci, Elisabetta Rocca, Jürgen Sprekels
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
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