Elastoplastic reaction of a container to water freezing

0349653 - MÚ 2011 RIV CZ eng J - Článek v odborném periodiku
Krejčí, Pavel
Elastoplastic reaction of a container to water freezing.
Mathematica Bohemica. Roč. 135, č. 4 (2010), s. 423-441. ISSN 0862-7959
Grant CEP: GA ČR GAP201/10/2315
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: phase transition * water * ice * energy * entropy * elastoplastic boundary
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0189832