Existence of Minimal Energy Configuration of Nematic Liquid Crystals with Variable Degree of Orientation ; Regularity of Solutions of a Degenerate Elliptic Variational Problem

Existence of Minimal Energy Configuration of Nematic Liquid Crystals with Variable Degree of Orientation ; Regularity of Solutions of a Degenerate Elliptic Variational Problem PDF Author: L. Ambrosio
Publisher:
ISBN:
Category :
Languages : en
Pages : 15

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Geometric Partial Differential Equations - Part 2

Geometric Partial Differential Equations - Part 2 PDF Author: Andrea Bonito
Publisher: Elsevier
ISBN: 0444643060
Category : Mathematics
Languages : en
Pages : 572

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Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. - About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization - Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading - The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs

Nematics

Nematics PDF Author: Jean-Michel Coron
Publisher: Springer Science & Business Media
ISBN: 9401134286
Category : Science
Languages : en
Pages : 426

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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.

Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan

Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan PDF Author: Ichirō Satake
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 938

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Existence of Minimal Energy Configuration of Nematic Liquid Crystals with Variable Degree of Orientation

Existence of Minimal Energy Configuration of Nematic Liquid Crystals with Variable Degree of Orientation PDF Author: Luigi Ambrosio
Publisher:
ISBN:
Category :
Languages : en
Pages : 10

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Proceedings of the International Congress of Mathematicians

Proceedings of the International Congress of Mathematicians PDF Author: Ichiro Satake
Publisher: Springer
ISBN: 9784431700470
Category : Mathematics
Languages : en
Pages : 922

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These proceedings start with the official report of the Congress, given in the front pages, a list of donors, and a list of registrated participants, as well as the reports of the opening and closing ceremonies. The main body of the proceedings includes the papers presented by the 15 plenary speakers and 139 invited speakers, selected by the Programm Committee. These volumes are rounded off by the reports of the works of the four fields medalists V.G. Drinfield, V.F.R. Jones, S. Mori, E. Witten and the winner of the Rolf Nevanlinna Prize A.A. Razborov.

Communications on Applied Nonlinear Analysis

Communications on Applied Nonlinear Analysis PDF Author:
Publisher:
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 502

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IMACS '91

IMACS '91 PDF Author: Robert Vichnevetsky
Publisher:
ISBN:
Category : Computer simulation
Languages : en
Pages : 468

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Manuscripta Mathematica

Manuscripta Mathematica PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 488

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Houston Journal of Mathematics

Houston Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 822

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