Regularity of minimizers for a general class of constrained energies in two-dimensional domains with applications to liquid crystals
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Publication:2080546
DOI10.1007/978-3-031-04496-0_3zbMath1501.76003arXiv2111.08107OpenAlexW3211900952MaRDI QIDQ2080546
Patricia Baumann, Daniel R. Phillips
Publication date: 9 October 2022
Full work available at URL: https://arxiv.org/abs/2111.08107
eigenvalueelasticity termfinite energy minimizermodified Landau-de Gennes Q-tensor modelsingular Maier-Saupe bulk term
PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)
Cites Work
- Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy
- Regularity and the behavior of eigenvalues for minimizers of a constrained \(Q\)-tensor energy for liquid crystals
- Regularity of minimizers of a tensor-valued variational obstacle problem in three dimensions
- Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
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