Effects of an external periodic body force on the interfacial stability of a nematic layer
Authors:
Galal M. Moatimid and Yusry O. El-Dib
Journal:
Quart. Appl. Math. 56 (1998), 413-429
MSC:
Primary 76A15
DOI:
https://doi.org/10.1090/qam/1637032
MathSciNet review:
MR1637032
Full-text PDF Free Access
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Additional Information
P. G. de Gennes, The Physics of Liquid Crystals, Clarendon Press, Oxford, 1974
S. Chandrasekhar, Liquid Crystals, Cambridge University Press, London, 1977
L. M. Blinov, Electro-optical and Magneto-optical Properties of Liquid Crystals, John Wiley and Sons Limited, 1983
W. H. de Jeu, Physical Properties of Liquid Crystalline Materials, Gordon and Breach, New York, 1980
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P. G. de Gennes, The Physics of Liquid Crystals, Clarendon Press, Oxford, 1974
S. Chandrasekhar, Liquid Crystals, Cambridge University Press, London, 1977
L. M. Blinov, Electro-optical and Magneto-optical Properties of Liquid Crystals, John Wiley and Sons Limited, 1983
W. H. de Jeu, Physical Properties of Liquid Crystalline Materials, Gordon and Breach, New York, 1980
J. L. Ericksen, On equations of motion for liquid crystals, Quart. J. Mech. Appl. Math. XXIX, 203–208 (1976)
F. M. Leslie, Some constitutive equations for liquid crystals, Arch. Rat. Mech. Anal. 28, 265–283 (1968)
L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon, New York, 1959
M. J. Stephen and J. P. Straley, Physics of liquid crystals, Rev. Mod. Phys. 64, 617–704 (1974)
D. Langevin and M. A. Bouchiat, Spectre des fluctuations thermiques à la surface libre d’un cristal liquide nematique, J. de physique 33, 101–111 (1972)
R. Aris, Vectors, Tensors, and Basic Equations of Fluid Mechanics, Prentice-Hall, Englewood Cliffs, N.J., 1962
F. M. Leslie, Some institutive equations for anisotropic fluids, Quart. J. Mech. Appl. Math. 19, 357–370 (1966)
O. Parodi, Stress tensor for a nematic liquid crystal, J. de Physique 31, 581–584 (1970)
P. A. Penz and G. W. Ford, Electromagnetic hydrodynamic of liquid crystals, Phys. Rev. A6, 414–425 (1972)
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Oxford University Press, 1961
A. H. Nayfeh, Problems in Perturbation, John Wiley and Sons, Inc., 1985
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© Copyright 1998
American Mathematical Society