Displaying similar documents to “Behavior of critical solutions of a nonlocal hyperbolic problem in Ohmic heating of foods.”

Elastoplastic reaction of a container to water freezing

Pavel Krejčí (2010)

Mathematica Bohemica

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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.