Počet záznamů: 1

Phase separation in a gravity field

  1. 1.
    0351138 - MU-W 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
    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

    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
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