New Variational Problems in the Statics of Liquid Crystals

  • Epifanio G. Virga
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 54)

Abstract

Liquid crystals are anisotropic fluids that exhibit a preferred direction, possibly different at each place. The preferred direction is the optical axis of the material, that here we describe by a unit vector n. Most liquid crystals present different phases as the temperature varies. We restrict attention to only one of these phases: our development concerns nematic liquid crystals. We assume the region of space occupied by a liquid crystal as given and we denote it by B. Thus n is a field of B into S2 the unit sphere in the translation space of the three-dimensional Euclidean space ε. Formally,
$$n:B \to {S^2},B \subset \varepsilon ,{S^2}: = \left\{ {u \in v\left| u \right| = 1} \right\},{\text{ where v: = }}\varepsilon {\text{ - }}\varepsilon $$

Keywords

Nite Tame 

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Copyright information

© Springer-Verlag New York, Inc. 1993

Authors and Affiliations

  • Epifanio G. Virga
    • 1
  1. 1.Facoltà di IngegneriaUniversità di PisaPisaItaly

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