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Nematics

Mathematical and Physical Aspects

  • Book
  • © 1991

Overview

Editors:
  1. Jean-Michel Coron

    1. Département de Mathématiques, Université Paris-Sud, Orsay, France

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  2. Jean-Michel Ghidaglia

    1. Centre de Mathématiques et Leurs Applications, Ecole Normale Supérieure de Cachan, Cachan, France

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  3. Frédéric Hélein

    1. Groupe Hydrodynamique Navale ENSTA, Palaiseau, France

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Part of the book series: Nato Science Series C: (ASIC, volume 332)

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Table of contents (29 chapters)

  1. Front Matter

    Pages i-xiii
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  2. An Energy-Decreasing Algorithm for Harmonic Map

    • François Alouges
    Pages 1-13

  3. A Cohomological Criterion for Density of Smooth Maps in Sobolev Spaces Between Two Manifolds

    • F. Bethuel, J. M. Coron, F. Demengel, F. Helein
    Pages 15-23

  4. On the Mathematical Modeling of Textures in Polymeric Liquid Crystals

    • Maria-Carme Calderer
    Pages 25-36

  5. A Result on the Global Existence for Heat Flows of Harmonic Maps from D 2into S 2

    • Kung-Ching Chang, Wei-Yue Ding
    Pages 37-47

  6. Blow-Up Analysis for Heat Flow of Harmonic Maps

    • Chen Yunmei, Ding Wei-Yue
    Pages 49-64

  7. Taylor-Couette Instability in Nematic Liquid Crystals

    • P. E. Cladis
    Pages 65-91

  8. On a Class of Solutions in the Theory of Nematic Phases

    • Bernard D. Coleman, James T. Jenkins
    Pages 93-105

  9. Rheology of Thermotropic Nematic Liquid Crystalline Polymers

    • Morton M. Denn, Jeffrey A. Reimer
    Pages 107-112

  10. Cartesian Currents and Liquid Crystals Dipoles, Singular Lines and Singular Points

    • M. Giaquinta, G. Modica, J. Souček
    Pages 113-127

  11. Heat Flow for Harmonic Maps

    • Joseph F. Grotowski
    Pages 129-140

  12. The Motion of Defects in Convective Structures of the Elliptical Shear Instability of a Nematic

    • E. Guazzelli
    Pages 141-171

  13. Fiber Evolution in the Heat Flow of Harmonic Maps

    • Robert Gulliver
    Pages 173-178

  14. Axially Symmetric Harmonic Maps

    • Robert M. Hardt
    Pages 179-187

  15. Defects of Stationary Convective Structures in a Nematic

    • A. Joets, R. Ribotta, X. D. Yang
    Pages 189-194

  16. An approach to the construction of Morse flows for variational functionals

    • Norio Kikuchi
    Pages 195-199

  17. An Example of Frustration in a Ferromagnetic Material

    • Richard D. James, David Kinderlehrer
    Pages 201-221

  18. Flow-Induced Instabilities in Nematic Liquid Crystals

    • F. M. Leslie
    Pages 223-232

  19. Defects in Macroscopic Structures: Ginzburg-Landau Approach

    • J. Lega
    Pages 233-246

  20. Nematic Liquid Crystals with Variable Degree of Orientation

    • Fang Hua Lin
    Pages 247-259
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Keywords

About this book

This volume (>Ie) NEMATICS Mathematical and Physical aspects constitutes the proceedings of a workshop which was held at l'Universite de Paris Sud (Orsay) in May 1990. This meeting was an Advanced Research Workshop sponsored by NATO. We gratefully acknowledge the help and support of the NATO Science Committee. Additional support has been provided by the Ministere des affaires etrangeres (Paris) and by the Direction des Recherches et Etudes Techniques (Paris). Also logistic support has been provided by the Association des Numericiens d'Orsay. (*) These proceedings are published in the framework of the "Contrat DRET W 90/316/ AOOO". v Contents (*) FOREWORD v INTRODUCTION 1. M. CORON, 1. M. GHIDAGLIA, F. HELEIN xi AN ENERGY-DECREASING ALGORITHM FOR HARMONIC MAPS F. ALOUGES 1 A COHOMOLOGICAL CRITERION FOR DENSITY OF SMOOTH MAPS IN SOBOLEV SPACES BETWEEN TWO MANIFOLDS F. BETHUEL, 1. M. CORON, F. DEMENGEL, F. HELEIN 15 ON THE MATHEMATICAL MODELING OF TEXTURES IN POLYMERIC LIQUID CRYSTALS M. C. CAmERER 25 A RESULT ON THE GLOBAL EXISTENCE FOR HEAT FLOWS OF HARMONIC MAPS FROM D2 INTO S2 K. C. CHANG, W. Y. DING 37 BLOW-UP ANALYSIS FOR HEAT FLOW OF HARMONIC MAPS Y. CHEN 49 T AYLOR-COUETTE INSTABILITY IN NEMATIC LIQUID CRYSTALS P. E. ClADIS 65 ON A CLASS OF SOLUTIONS IN THE THEORY OF NEMATIC PHASES B. D. COLEMAN, 1. T. JENKINS 93 RHEOLOGY OF THERMOTROPIC NEMATIC LIQUID CRYSTALLINE POLYMERS M. M. DENN, 1. A.

Editors and Affiliations

  • Département de Mathématiques, Université Paris-Sud, Orsay, France

    Jean-Michel Coron

  • Centre de Mathématiques et Leurs Applications, Ecole Normale Supérieure de Cachan, Cachan, France

    Jean-Michel Ghidaglia

  • Groupe Hydrodynamique Navale ENSTA, Palaiseau, France

    Frédéric Hélein

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