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math.AP2024
Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model
Dmitry Golovaty, Petru Mironescu, Peter Sternberg
We develop a set of tools for the asymptotic analysis of minimizers of the anisotropic Ginzburg-Landau functional among the admissible competitors with Dirichlet boundary datum of…
math.AP2015
Dimension reduction for the Landau-de Gennes model in planar nematic thin films
Dmitry Golovaty, José Alberto Montero, Peter Sternberg
We use the method of -convergence to study the behavior of the Landau-de Gennes model for a nematic liquid crystalline film in the limit of vanishing thickness. In this asymptot…