By François Alouges (auth.), Jean-Michel Coron, Jean-Michel Ghidaglia, Frédéric Hélein (eds.)
This quantity (>Ie) NEMATICS Mathematical and actual facets constitutes the lawsuits of a workshop which used to be held at l'Universite de Paris Sud (Orsay) in could 1990. This assembly used to be a complicated learn Workshop backed via NATO. We gratefully recognize the assistance and help of the NATO technological know-how Committee. extra help has been supplied by way of the Ministere des affaires etrangeres (Paris) and by means of the course des Recherches et Etudes innovations (Paris). additionally logistic aid has been supplied via the organization des Numericiens d'Orsay. (*) those complaints are released within the framework of the "Contrat DRET W 90/316/ AOOO". v Contents (*) FOREWORD v creation 1. M. CORON, 1. M. GHIDAGLIA, F. HELEIN xi AN ENERGY-DECREASING set of rules FOR HARMONIC MAPS F. ALOUGES 1 A COHOMOLOGICAL CRITERION FOR DENSITY OF delicate MAPS IN SOBOLEV areas among MANIFOLDS F. BETHUEL, 1. M. CORON, F. DEMENGEL, F. HELEIN 15 at the MATHEMATICAL MODELING OF TEXTURES IN POLYMERIC LIQUID CRYSTALS M. C. CAmERER 25 A outcome at the worldwide life for warmth FLOWS OF HARMONIC MAPS FROM D2 INTO S2 okay. C. CHANG, W. Y. DING 37 BLOW-UP research for warmth circulate OF HARMONIC MAPS Y. CHEN forty nine T AYLOR-COUETTE INSTABILITY IN NEMATIC LIQUID CRYSTALS P. E. ClADIS sixty five ON a category OF suggestions within the concept OF NEMATIC stages B. D. COLEMAN, 1. T. JENKINS ninety three RHEOLOGY OF THERMOTROPIC NEMATIC LIQUID CRYSTALLINE POLYMERS M. M. DENN, 1. A.