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Nonlinear Problems Arising in the Study of Nematic Liquid Crystals

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Bifurcation Phenomena in Mathematical Physics and Related Topics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 54))

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Abstract

Following [2] and [1], we deduce, from Leslie’s model (cf. C9]), a weak formulation for the time dependent coupled equations of an incompressible nematic liquid crystal submitted to a strong homogeneous magnetic field. We also give some results about the existence, uniqueness, regularity and asymptotic behavior of weak solutions (cf. [2], [4],[1] and [5]).

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References

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© 1980 D. Reidel Publishing Company

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Dias, JP. (1980). Nonlinear Problems Arising in the Study of Nematic Liquid Crystals. In: Bardos, C., Bessis, D. (eds) Bifurcation Phenomena in Mathematical Physics and Related Topics. NATO Advanced Study Institutes Series, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9004-3_24

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  • DOI: https://doi.org/10.1007/978-94-009-9004-3_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9006-7

  • Online ISBN: 978-94-009-9004-3

  • eBook Packages: Springer Book Archive

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