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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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
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