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Keywords:
phase transition; water; ice; energy; entropy; elastoplastic boundary
phase transition; water; ice; energy; entropy; elastoplastic boundary
Summary:
The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.
References:
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