Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models

DOI10.1090/tran/6426zbMath1337.49067arXiv1312.4471OpenAlexW1754128837MaRDI QIDQ2790595

Olivier Kneuss, Hung V. Tran, Lawrence C. Evans

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4471

zbMATH Keywords

minimizerspartial regularityliquid crystalssingular energy functionals

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (9)

Disclinations in limiting Landau-de Gennes theory ⋮ Well-posedness and regularity for a polyconvex energy ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ Dynamics and flow effects in the Beris-Edwards system modeling nematic liquid crystals ⋮ 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 ⋮ Blowup rate estimates of a singular potential and its gradient in the Landau-de Gennes theory ⋮ Regularity of minimizers for a general class of constrained energies in two-dimensional domains with applications to liquid crystals ⋮ Regularity of a Gradient Flow Generated by the Anisotropic Landau--de Gennes Energy with a Singular Potential

Cites Work

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• Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy
• Liquid crystals with variable degree of orientation
• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• Quasiconvexity and partial regularity in the calculus of variations
• Convexity conditions and existence theorems in nonlinear elasticity
• Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Critical points of the Onsager functional on a sphere

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