TY - JOUR
T1 - Homogénéisation d'une fonctionnelle de Ginzburg-Landau
AU - Berlyand, Leonid
AU - Cioranescu, Doina
AU - Golovaty, Dmitry
N1 - Funding Information:
L. Berlyand was partially supported by the NSF grant DMS–0204637. D. Golovaty was partially supported by the NSF grant DMS–0305577.
PY - 2005/1/1
Y1 - 2005/1/1
N2 - We consider a nonlinear homogenization problem for a Ginzburg-Landau functional with a (positive or negative) surface energy term describing a nematic liquid crystal with inclusions. Assuming that sizes and distances between inclusions are of the same order ε, we obtain a limiting functional as ε → 0. We generalize the method of mesocharacteristics to show that a corresponding homogenized problem for arbitrary, periodic or non-periodic geometries is described by an anisotropic Ginzburg-Landau functional. We give computational formulas for material characteristics of an effective medium.
AB - We consider a nonlinear homogenization problem for a Ginzburg-Landau functional with a (positive or negative) surface energy term describing a nematic liquid crystal with inclusions. Assuming that sizes and distances between inclusions are of the same order ε, we obtain a limiting functional as ε → 0. We generalize the method of mesocharacteristics to show that a corresponding homogenized problem for arbitrary, periodic or non-periodic geometries is described by an anisotropic Ginzburg-Landau functional. We give computational formulas for material characteristics of an effective medium.
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U2 - 10.1016/j.crma.2004.10.024
DO - 10.1016/j.crma.2004.10.024
M3 - Article
AN - SCOPUS:11844263367
SN - 1631-073X
VL - 340
SP - 87
EP - 92
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 1
ER -