Nematics — mathematical and physical aspects : J.-M. Coron, J.-M., Chidaglia and F. Helein (eds.), NATO ASI Series. Kluwer, Dordrecht, 1991. 428 pp., Dfl.215, US$140, UK£74, ISBN 0-7923-1113-2.

Abstract

An Energy-Decreasing Algorithm for Harmonic Maps.- A Cohomological Criterion for Density of Smooth Maps in Sobolev Spaces Between Two Manifolds.- On The Mathematical Modeling Of Textures In Polymeric Liquid Crystals.- A Result on the Global Existence for Heat Flows of Harmonic Maps from D2 into S2.- Blow-Up Analysis for Heat Flow of Harmonic Maps.- Taylor-Couette Instability in Nematic Liquid Crystals.- On a Class of Solutions in the Theory of Nematic Phases.- Rheology of Thermotropic Nematic Liquid Crystalline Polymers.- Cartesian Currents and Liquid Crystals Dipoles, Singular Lines and Singular Points.- Heat Flow for Harmonic Maps.- The Motion of Defects in Convective Structures of the Elliptical Shear Instability of a Nematic.- Fiber Evolution in the Heat Flow of Harmonic Maps.- Axially Symmetric Harmonic Maps.- Defects of Stationary Convective Structures in a Nematic.- An Approach to the Construction of Morse Flows for Variational Functionals.- An Example of Frustration in a Ferromagnetic Material.- Flow-Induced Instabilities in Nematic Liquid Crystals.- Defects in Macroscopic Structures: Ginzburg-Landau Approach.- Nematic Liquid Crystals with Variable Degree of Orientation.- Field-Induced Instabilities in Nematic Liquid Crystals.- Variational Problems with Obstacles and Harmonic Maps.- Weakly Nonlinear Analysis of Pattern Formation in Nematic Liquid Crystals.- Dynamics of Defects.- Defects of Nonlinear Waves in the Convection Of A Nematic Liquid Crystal.- Projection Methods for Solving Nonlinear Systems of Equations.- Regularity Results for Harmonic Maps of Minkowski Space.- Defects in Nematic Liquid Crystals with Variable Degree of Orientation.- External Forcing of Liquid Crystal Instabilities.- On Travelling Waves in Electrohydrodynamic Convection in Nematics.