Data di Pubblicazione:
2013
Citazione:
On the long-time behavior of some mathematical models for nematic liquid crystals / H. Petzeltova, E. Rocca, G. Schimperna. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 46:3-4(2013), pp. 623-639. [Epub ahead of print] [10.1007/s00526-012-0496-1]
Abstract:
A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of two basic state variables: the velocity field u and the director field d, representing the preferred orientation of molecules in a neighborhood of any point in a reference domain. After recalling a known existence result, we investigate the long-time behavior of weak solutions. In particular, we show that any solution trajectory admits a non-empty ω-limit set containing only stationary solutions. Moreover, we give a number of sufficient conditions in order that the ω-limit set contains a single point. Our approach improves and generalizes existing results on the same problem.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
H. Petzeltova, E. Rocca, G. Schimperna
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