Asymptotic solution of the phase field system in the case of the high thermal conductivity and the small coefficient of the velocity of the free boundary
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Abstract
We consider the phase field system in the case of a stationary solution. We construct the corresponding weak asymptotic solution which becomes the classical solution of the Stefan-Gibbs-Thomson problem in the case of dynamics of the free boundary. Using numerical simulation we verify correctness of asymptotic solution constructed.
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