Regularity of solutions to the liquid crystals systems in {\mathbb{R}}^2 and \mathbb{R}^3

DOI10.1088/0951-7715/25/2/513zbMath1252.76021arXiv1110.2719OpenAlexW2952344793MaRDI QIDQ3118957

Mimi Dai, Jie Qing, Maria Elena Schonbek

Publication date: 6 March 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2719

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

Decay properties for a density-dependent liquid crystal system ⋮ Global well-posedness for the two-dimensional equations of nonhomogeneous incompressible liquid crystal flows with nonnegative density ⋮ Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions ⋮ Uniqueness of global weak solutions for the general Ericksen-Leslie system with Ginzburg-Landau penalization in \(\mathbb{T}^2\) ⋮ Weak-strong uniqueness property for the compressible flow of liquid crystals ⋮ Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in \(2D\) ⋮ Nonexistence of smooth solutions for a full viscous isentropic liquid crystal system in three dimensions ⋮ Strong solutions to the density-dependent incompressible nematic liquid crystal flows with heat effect ⋮ Global well-posedness of the nonhomogeneous incompressible liquid crystals systems

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