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A nonlocal phase-field model with nonconstant specific heat

Please always quote using this URN:urn:nbn:de:0296-matheon-3488
  • We prove the existence, uniqueness, thermodynamic consistency, global boundedness from both above and below, and continuous data dependence for a strong solution to an integrodifferential model for nonisothermal phase transitions under nonhomogeneous mixed boundary conditions. The specific heat is allowed to depend on the order parameter, and the convex component of the free energy may or may not be singular.

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Metadaten
Author:Pavel Krejci, Elisabetta Rocca, Jürgen Sprekels
URN:urn:nbn:de:0296-matheon-3488
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
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Bxx Qualitative properties of solutions / 35B65 Smoothness and regularity of solutions
45-XX INTEGRAL EQUATIONS / 45Jxx Integro-ordinary differential equations [See also 34K05, 34K30, 47G20] / 45J05 Integro-ordinary differential equations [See also 34K05, 34K30, 47G20]
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:363
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