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General Mathematical Description of Pattern-Forming Instabilities

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Book cover Pattern Formation in Liquid Crystals

Part of the book series: Partially Ordered Systems ((PARTIAL.ORDERED))

Abstract

We describe methods to derive from the basic macroscopic equations weakly nonlinear descriptions valid at small amplitudes of the patterns. Spatial variations are included so that the stability of the patterns, defects, and complex dynamic states can be captured. Special emphasis is given to effects of anisotropy typical for liquid crystals, which lead to characteristic forms of the largely universal equations.

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Authors
  1. Werner Pesch
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  2. Lorenz Kramer
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Editor information

Editors and Affiliations

  1. Research Institute for Solid-State Physics, Hungarian Academy of Sciences, POB. 49, H-1525, Budapest, Hungary

    Agnes Buka

  2. Institut fur Physik, Universitat Bayreuth, D-95440, Bayreuth, Germany

    Lorenz Kramer

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© 1996 Springer-Verlag New York, Inc.

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Pesch, W., Kramer, L. (1996). General Mathematical Description of Pattern-Forming Instabilities. In: Buka, A., Kramer, L. (eds) Pattern Formation in Liquid Crystals. Partially Ordered Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3994-9_3

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  • DOI: https://doi.org/10.1007/978-1-4612-3994-9_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8464-2

  • Online ISBN: 978-1-4612-3994-9

  • eBook Packages: Springer Book Archive

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