Geodesic
Elastoplastic reaction of a container to water freezing
Mathematica Bohemica, Tome 135 (2010) no. 4, pp. 423-441

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MR Zbl
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.
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.
DOI : 10.21136/MB.2010.140833
Classification : 35K85, 47J40, 80A22
Keywords: phase transition; water; ice; energy; entropy; elastoplastic boundary 
Krejčí, Pavel. Elastoplastic reaction of a container to water freezing. Mathematica Bohemica, Tome 135 (2010) no. 4, pp. 423-441. doi: 10.21136/MB.2010.140833
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