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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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Fiber Evolution in the Heat Flow of Harmonic Maps,The heat flow for harmonic maps ..x(.) →..is considered in terms of the geometrical properties of the fibers . ∈ . for various . ∈ ., as these curves evolve with time .. This includes a special limiting case for the evolution of nematic liquid crystals.
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Axially Symmetric Harmonic Maps,Here we discuss recent results of [HLP] on the class of axially symmetric harmonic maps from B. to S.. We find some new classes of non-minimizing harmonic maps exhibiting unusual singular behavior. Optimal partial regularity estimates are obtained for mappings which minimize, among axially symmetric maps, various relaxed energies [BBC].
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Defects of Stationary Convective Structures in a Nematic,We present a study of the defects of ordered stationary convective structures in a nematic liquid crystal layer. We describe their structure and we show that the role of the defects in the transition from the basic structure of rolls to the cellular bimodal structure can be understood from the topology and from the stability of their core.
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Defects in Macroscopic Structures: Ginzburg-Landau Approach,We give a description of defects in macroscopic structures by means of Ginzbug-Landau equations.
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Book 1991 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
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Robert Gulliverould be the case, explanations attempt to reveal why or how something is or will be. When arguments are referring to knowledge and its aim is to enrich the knowledge, explanations is referring to understanding and make contribution to understanding. Also explanation is often confused with justificat
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