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Titlebook: Nematics; Mathematical and Phy Jean-Michel Coron,Jean-Michel Ghidaglia,Frédéric H Book 1991 Springer Science+Business Media Dordrecht 1991

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书目名称Nematics
副标题Mathematical and Phy
编辑Jean-Michel Coron,Jean-Michel Ghidaglia,Frédéric H
视频video
丛书名称Nato Science Series C:
图书封面Titlebook: Nematics; Mathematical and Phy Jean-Michel Coron,Jean-Michel Ghidaglia,Frédéric H Book 1991 Springer Science+Business Media Dordrecht 1991
描述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 INS
出版日期Book 1991
关键词Sobolev space; algorithm; calculus; mathematical modeling; modeling
版次1
doihttps://doi.org/10.1007/978-94-011-3428-6
isbn_softcover978-94-010-5516-1
isbn_ebook978-94-011-3428-6Series ISSN 1389-2185
issn_series 1389-2185
copyrightSpringer Science+Business Media Dordrecht 1991
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A Cohomological Criterion for Density of Smooth Maps in Sobolev Spaces Between Two Manifolds,ed and that ..(., Q) ≃ Π.(.) where [.] is the largest integer less or equal to p. We prove that . can be approximated by smooth maps between . and . if and only if the pullback by . of any closed [.]-form on . is closed.
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Nematics978-94-011-3428-6Series ISSN 1389-2185
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An Energy-Decreasing Algorithm for Harmonic Map,We study a new algorithm to compute harmonic maps from a domain of .. into ... The novelty of this algorithm is that the renormalization step speeds up the convergence. We also apply it to the evolution problem.
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Blow-Up Analysis for Heat Flow of Harmonic Maps,It is investigated that in higher dimensions the heat flow of harmonic maps between two compact Riemannian manifolds blows up in a finite time if the initial map is in some nontrivial homotopic class with small energy.
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Cartesian Currents and Liquid Crystals Dipoles, Singular Lines and Singular Points,In this survey paper we discuss the role of cartesian currents in the problem of equilibrium configuration of liquid crystals and in particular with respect to the occurrence of line and point singularities.
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Heat Flow for Harmonic Maps,We examine the harmonic map heat flow problem for maps between the three-dimensional ball and the two-sphere. We give blow-up results for certain initial data, and establish convergence results for suitable axially symmetric initial data.
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