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Phase separation in a gravity field
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SYSNO ASEP 0351138 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title Phase separation in a gravity field Author(s) Krejčí, Pavel (MU-W) RID, SAI, ORCID
Rocca, E. (IT)
Sprekels, J. (DE)Source Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 4, č. 2 (2011), s. 391-407Number of pages 17 s. Language eng - English Country US - United States Keywords phase separation ; existence and uniqueness ; long-time behavior of solutions Subject RIV BA - General Mathematics R&D Projects GAP201/10/2315 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) EID SCOPUS 84864486664 DOI 10.3934/dcdss.2011.4.391 Annotation We prove here well-posedness and convergence to equilibria for the solution trajectories associated with a model for solidification of the liquid content of a rigid container in a gravity field. We observe that the gravity effects, which can be neglected without considerable changes of the process on finite time intervals, have a substantial influence on the long time behavior of the evolution system. Without gravity, we find a temperature interval, in which all phase distributions with a prescribed total liquid content are admissible equilibria, while under the influence of gravity, the only equilibrium distribution in a connected container consists in two pure phases separated by one plane interface perpendicular to the gravity force. 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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