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Elastoplastic reaction of a container to water freezing
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SYSNO ASEP 0349653 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Elastoplastic reaction of a container to water freezing Author(s) Krejčí, Pavel (MU-W) RID, SAI, ORCID Source Title Mathematica Bohemica. - : Matematický ústav AV ČR, v. v. i. - ISSN 0862-7959
Roč. 135, č. 4 (2010), s. 423-441Number of pages 19 s. Language eng - English Country CZ - Czech Republic Keywords phase transition ; water ; ice ; energy ; entropy ; elastoplastic boundary Subject RIV BA - General Mathematics R&D Projects GAP201/10/2315 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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