DYNAMICS OF THE NEMATIC-ISOTROPIC SHARP INTERFACE FOR THE LIQUID CRYSTAL

DYNAMICS OF THE NEMATIC-ISOTROPIC SHARP INTERFACE FOR THE LIQUID CRYSTAL

In this paper, we derive the sharp interface model of the nematic-isotropic phase transition from the Landau–de Gennes theory by using the matched asymptotic expansion method. The model includes the evolution equation of the velocity and director field of the liquid crystal, the sharp interface, and...

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Veröffentlicht in:SIAM journal on applied mathematics 2015-01, Vol.75 (4), p.1700-1724
Hauptverfasser: FEI, MINGWEN, WANG, WEI, ZHANG, PINGWEN, ZHANG, ZHIFEI
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we derive the sharp interface model of the nematic-isotropic phase transition from the Landau–de Gennes theory by using the matched asymptotic expansion method. The model includes the evolution equation of the velocity and director field of the liquid crystal, the sharp interface, and the Young–Laplace jump condition on the interface.
ISSN:0036-1399
1095-712X
DOI:10.1137/140994113