Global solution to a phase field model with irreversible and constrained phase evolution

Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse

doi:10.1090/qam/1900495

Authors: Fabio Luterotti, Giulio Schimperna and Ulisse Stefanelli
Journal: Quart. Appl. Math. 60 (2002), 301-316
MSC: Primary 35K65; Secondary 35K50, 47H20, 74N99, 80A22
DOI: https://doi.org/10.1090/qam/1900495
MathSciNet review: MR1900495
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Abstract: This note deals with a nonlinear system of PDEs describing some irreversible phase change phenomena that account for a bounded limit velocity of the phase transition process. An existence result is established by using time discretization, compactness arguments, and techniques of subdifferential operators.

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