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Non‐local temperature‐dependent phase‐field models for non‐isothermal phase transitions
Author(s) -
Krejčí Pavel,
Rocca Elisabetta,
Sprekels Jürgen
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdm032
Subject(s) - isothermal process , phase transition , thermodynamics , phase field models , phase (matter) , field (mathematics) , materials science , order (exchange) , statistical physics , physics , mathematics , quantum mechanics , finance , pure mathematics , economics
Abstract We propose a model for non‐isothermal phase transitions with non‐con‐served order parameter driven by a spatially non‐local 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.