Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals;Sur le caratère bien posé du modèle de cristaux liquides nématiques d'Ericksen-Leslie

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 10, 2001, Pages 919-924

  Coutand, Daniel ^a   Shkoller, Steve ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010568156     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)02161-9     Document Type: Article

References (11)

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2. Coutand D., Shkoller S., Article in preparation (2001).
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4. Ericksen J. Conservation laws for liquid crystals. Trans. Soc. Rheol. 5:1961;22-34.
5. Ericksen J. Equilibrium theory for liquid crystals. Brown G. Advances in Liquid Crystals. 2:1975;233-398 Academic Press, New York.
6. Leslie F.M. Theory of flow phenomena in liquid crystals. Brown G. Advances in Liquid Crystals. 4:1979;1-81 Academic Press, New York.
7. Lin F.-H. Nonlinear theory of defects in nematic liquid crystals: phase transition and flow phenomena. Comm. Pure Appl. Math. 42:1989;789-814.
8. Lin F.-H., Liu C. Nonparabolic dissipative systems modeling the flow of liquid crystals. Comm. Pure Appl. Math. 48:1995;501-537.
9. Lin F.-H., Liu C. Existence of solutions for the Ericksen-Leslie system. Arch. Rat. Mech. Anal. 154:2000;135-156.
10. Shkoller S., Well-posedness and global attractors for liquid crystals on Riemannian manifolds, Comm. Partial Differ. Eq. (2001) (to appear).
11. Temam R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics. 1988;Springer-Verlag.