Strictly physical global weak solutions of a Navier-Stokes \(Q\)-tensor system with singular potential

DOI10.1007/s00205-015-0864-zzbMath1329.35255arXiv1211.6083OpenAlexW2012085436MaRDI QIDQ495905

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 September 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6083

zbMATH Keywords

a generalized model in spatial dimension 2 or 3global strong solutions construction in the dimension 2incompressible flow of nematic liquid crystal materialsmaximum principle argument

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximum principles in context of PDEs (35B50) Liquid crystals (76A15) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (22)

On partial regularity criterion for the co-rotational Beris-Edwards system modeling nematic liquid crystal flow ⋮ Modelling and computation of liquid crystals ⋮ Liouville theorem for the steady-state solutions of \(Q\)-tensor system of liquid crystal ⋮ On partial regularity for weak solutions to the 3D co-rotational Beris-Edwards system ⋮ Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three ⋮ Regularity Problem for the Nematic LCD System with Q-tensor in $\mathbb R^3$ ⋮ Strong solution for 3D compressible liquid crystal system with random force ⋮ The parabolic fractal dimension for the co-rotational Beris-Edwards system ⋮ Number of singular points and energy equality for the co-rotational Beris-Edwards system modeling nematic liquid crystal flow ⋮ 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 of minimizers of a tensor-valued variational obstacle problem in three dimensions ⋮ On the initial boundary value problem of a Navier-Stokes/\(Q\)-tensor model for liquid crystals ⋮ Global well-posedness of the two dimensional Beris-Edwards system with general Laudau-de Gennes free energy ⋮ Global strong solution to the three-dimensional liquid crystal flows of Q-tensor model ⋮ Global Strong Solutions of the Full Navier--Stokes and $Q$-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions ⋮ Global weak solutions to the active hydrodynamics of liquid crystals ⋮ On asymptotic isotropy for a hydrodynamic model of liquid crystals ⋮ On mathematical analysis of complex fluids in active hydrodynamics ⋮ Blowup rate estimates of a singular potential and its gradient in the Landau-de Gennes theory ⋮ Regularity of a Gradient Flow Generated by the Anisotropic Landau--de Gennes Energy with a Singular Potential ⋮ Regularity criteria for weak solutions to the 3d co-rotational Beris-Edwards system via the pressure

Cites Work

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• Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
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