Regularity of a Gradient Flow Generated by the Anisotropic Landau--de Gennes Energy with a Singular Potential

DOI10.1137/20M1386499zbMath1467.35079arXiv2011.09541OpenAlexW3177127089MaRDI QIDQ4997168

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Publication date: 28 June 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09541

zbMATH Keywords

Hausdorff dimensionphysical constraintnondiagonal parabolic system with singular potential

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs with multivalued right-hand sides (35R70) Initial-boundary value problems for second-order parabolic equations (35K20) Liquid crystals (76A15) Singular parabolic equations (35K67) Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators (35K87)

Related Items (3)

Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ Blowup rate estimates of a singular potential and its gradient in the Landau-de Gennes theory ⋮ \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

Cites Work

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