Phase separation in a gravity field

0351138 - MÚ 2011 RIV US eng J - Článek v odborném periodiku
Krejčí, Pavel - Rocca, E. - Sprekels, J.
Phase separation in a gravity field.
Discrete and Continuous Dynamical systems - Series S. Roč. 4, č. 2 (2011), s. 391-407. ISSN 1937-1632. E-ISSN 1937-1179
Grant CEP: GA ČR GAP201/10/2315
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: phase separation * existence and uniqueness * long-time behavior of solutions
Kód oboru RIV: BA - Obecná matematika
http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5633

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.
Trvalý link: http://hdl.handle.net/11104/0190951