A nonlocal phase-field model with nonconstant specific heat | Zendy

Pavel Krejčı́ | Zendy; Elisabetta Rocca | Zendy; Jürgen Sprekels | Zendy

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A nonlocal phase-field model with nonconstant specific heat

Author(s) -

Pavel Krejčı́,

Elisabetta Rocca,

Jürgen Sprekels

Publication year - 2007

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/165

Subject(s) - uniqueness , consistency (knowledge bases) , regular polygon , mathematics , boundary (topology) , phase (matter) , field (mathematics) , phase field models , mathematical analysis , phase boundary , boundary value problem , phase transition , energy (signal processing) , component (thermodynamics) , physics , thermodynamics , pure mathematics , geometry , statistics , quantum mechanics

We prove the existence, uniqueness, thermodynamic consistency, global boundedness from both above and below, and continuous data dependence for a 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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