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Partial regularity of the Landau–de Gennes energy model for liquid crystals

Article ID Journal Published Year Pages File Type
840267 Nonlinear Analysis: Theory, Methods & Applications 2013 15 Pages PDF
Abstract

We discuss the partial regularity of non-trivial minimizers for the Landau–de Gennes energy functional in a bounded domain of R3R3. Off some relatively closed subset ZZ, whose 1-dimensional Hausdorff measure is zero, we prove that the minimizers are analytic.

Keywords
35B4035B2582D55Energy decayMinimizersSmectic liquid crystals
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Partial regularity of the Landau–de Gennes energy model for liquid crystals
Authors
Dan Liu,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
35B40
35B25
82D55
Energy decay
Minimizers
Smectic liquid crystals
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