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Global solution to a phase field model with irreversible and constrained phase evolution. (English) Zbl 1032.35109
The authors establish an existence result for a nonlinear parabolic system in the general framework of phase field models. The approach is based on time discretization and a priori estimates.

MSC:
35K65 Degenerate parabolic equations
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
47H20 Semigroups of nonlinear operators
80A22 Stefan problems, phase changes, etc.
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