Abstract
We study an elliptic-parabolic coupled system describing the evolution of diffusive phase interfaces during phase transition in material science. The model differs from the celebrated Allen-Cahn model by a indifferentiable term |∇xS|, which makes the parabolic equation degenerate. The existence of weak solutions for this new phase-field model with periodic boundary conditions is given by taking the limits of the solutions (uκ,Sκ) of approximate problem as κ→0. This model is also used to simulate the microstructural evolution of martensitic transformation in MnNi alloys.
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