Liquid Crystals with Variable Degree of Orientation PDF Download
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Author: University of Minnesota. Institute for Mathematics and Its Applications
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Category :
Languages : en
Pages :
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Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Victor J. Mizel
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Category : Calculus of variations
Languages : en
Pages : 5
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Abstract: "The analysis of a nematic liquid crystal, filling a bounded cylindrical container, whose free energy is a (simplified) version of Ericksen's model with variable degree of orientation, leads to a variational problem of the form F[s, [phi]] = [integral]10[k (sʹ)2 + s2 (([phi]ʹ)2 + cos2[phi]/r2)]rdr subject to s(1) = s0, [phi](1) = 0, with k a positive constant. It will be shown that a surprisingly explicit solution is obtainable. Moreover an interesting bifurcation takes place at k = 1."
Author: Zdzisław Naniewicz
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ISBN:
Category :
Languages : en
Pages : 25
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Author: Victor J. Mizel
Publisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 24
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Abstract: "A version of Ericksen's order parameter theory of liquid crystals is studied in the case of a cylindrical container with anchoring on the curved surface only. The solutions are determined rather explicitly and the equilibrium orientation field is shown to vary between that of the Frank solution (possessing an axial disclination) and that of the disclination-free Cladis-Kleman solution as a scalar parameter in the free energy varies from 0 to [infinity]."
Author: Dmitry Pugachevsky
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Category :
Languages : en
Pages : 0
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Author: University of Minnesota. Institute for Mathematics and Its Applications
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Category :
Languages : en
Pages : 7
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Author: Luigi Ambrosio
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Category :
Languages : en
Pages : 10
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Author: E. G. Virga
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Category :
Languages : en
Pages : 18
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Author: L. Ambrosio
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Category :
Languages : en
Pages : 15
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Author: Diego Roccato
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Category :
Languages : en
Pages : 25
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