Elastoplastic reaction of a container to water freezing

0349653 - MÚ 2011 RIV CZ eng J - Journal Article
Krejčí, Pavel
Elastoplastic reaction of a container to water freezing.
Mathematica Bohemica. Roč. 135, č. 4 (2010), s. 423-441. ISSN 0862-7959
R&D Projects: GA ČR GAP201/10/2315
Institutional research plan: CEZ:AV0Z10190503
Keywords : phase transition * water * ice * energy * entropy * elastoplastic boundary
Subject RIV: BA - General Mathematics
http://www.dml.cz/dmlcz/140833

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.
Permanent Link: http://hdl.handle.net/11104/0189832