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Theory and Applications of Liquid Crystals

  • Book
  • © 1987

Overview

Editors:
  1. J. L. Ericksen

    1. Institute for Mathematics and Its Applications, Minneapolis, USA

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  2. David Kinderlehrer

    1. Institute for Mathematics and Its Applications, Minneapolis, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 5)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xii
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  2. Rheological and Rheo-Optical Studies with Nematogenic Solutions of a Rodlike Polymer: A Review of Data on Poly (Phenylene Benzobisthiazole)

    • G. C. Berry
    Pages 1-29

  3. Liquid Crystals and Energy Estimates for S2- Valued Maps

    • Haïm Brezis
    Pages 31-52

  4. On Virtual Inertia Effects During Diffusion of a Dispersed Medium in a Suspension

    • G. Capriz, P. Giovine
    Pages 53-62

  5. Degenerate Harmonic Maps and Liquid Crystals

    • Hyeong In Choi
    Pages 63-71

  6. A Review of Cholesteric Blue Phases

    • P. E. Cladis
    Pages 73-98

  7. Minimum Energy Configurations for Liquid Crystals: Computational Results

    • Robert Cohen, Robert Hardt, David Kinderlehrer, San-Yin Lin, Mitchell Luskin
    Pages 99-121

  8. The Flow of Two Immiscible Fluids through a Porous Medium Regularity of the Saturation

    • E. DiBenedetto
    Pages 123-141

  9. Molecular Theory for the Nonlinear Viscoelasticity of Polymeric Liquids Crystals

    • Masao Doi
    Pages 143-150

  10. Mathematical Questions of Liquid Crystal Theory

    • Robert Hardt, David Kinderlehrer
    Pages 151-184

  11. The Effect of the Magnitude of the Disordered Phase Temperature Range on the Given Phase Transition in Liquid Crystals

    • C. C. Huang
    Pages 185-209

  12. Some Topics in Equilibrium Theory of Liquid Crystals

    • Frank M. Leslie
    Pages 211-234

  13. Theory of Flow Phenomena in Nematic Liquid Crystals

    • Frank M. Leslie
    Pages 235-254

  14. A Model for Disclinations in Nematic Liquid Crystal

    • J. H. Maddocks
    Pages 255-269

  15. Some Remarks about a Free Boundary Type Problem

    • Mario Miranda
    Pages 271-280

  16. Computer Simulation of Flow of Liquid Crystal Polymers

    • Gregory Ryskin
    Pages 281-303

  17. Theory of the Blue Phases of Chiral Nematic Liquid Crystals

    • James P. Sethna
    Pages 305-324

  18. On the Global Structure of Solutions to Some Semilinear Elliptic Problems

    • Joel Spruck
    Pages 325-353

  19. Back Matter

    Pages 355-360
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Keywords

About this book

This IMA Volume in Mathematics and its Applications AMORPHOUS POLYMERS AND NON-NEWTONIAN FLUIDS is in part the proceedings of a workshop which was an integral part of the 1984-85 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS We are grateful to the Scientific Committee: Haim Brezis Constantine Dafermos Jerry Eri cksen David Kinderlehrer for planning and implementing an exciting and stimulating year-long program. We espe­ cially thank the Program Organizers, Jerry Ericksen, David Kinderlehrer, Stephen Prager and Matthew Tirrell for organizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinberger Preface The diversity of experimental phenomena and the range of applications of liquid crystals present timely and challenging questions for experimentalists, mechanists, and mathematicians. The scope of this workshop was to bring together research workers and practitioners in these areas from laboratories, industry, and universities to explore common issues. The contents of this volume vary from descriptions of experimental phenomena, of which our understanding is insufficient, to questions of a mathematical nature and of efficient computation.

Editors and Affiliations

  • Institute for Mathematics and Its Applications, Minneapolis, USA

    J. L. Ericksen, David Kinderlehrer

Bibliographic Information

  • Book Title: Theory and Applications of Liquid Crystals

  • Editors: J. L. Ericksen, David Kinderlehrer

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4613-8743-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1987

  • Softcover ISBN: 978-1-4613-8745-9Published: 11 September 2013

  • eBook ISBN: 978-1-4613-8743-5Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: XII, 360

  • Number of Illustrations: 8 b/w illustrations

  • Topics: Theoretical, Mathematical and Computational Physics

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