Local and global existence for the Ericksen-Leslie problem in unbounded domains

DOI10.1016/J.JMAA.2024.128677MaRDI QIDQ6614372

Publication date: 7 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Heat equation (35K05) Stokes and related (Oseen, etc.) flows (76D07) A priori estimates in context of PDEs (35B45) Liquid crystals (76A15) Perturbations in context of PDEs (35B20) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

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Dynamics of nematic liquid crystal flows: the quasilinear approach
On the maximal \(L_{p}\)-\(L_{q}\) regularity of the Stokes problem with first order boundary condition; model problems
Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition.
Global solution to the three-dimensional incompressible flow of liquid crystals
Higher order fractional Leibniz rule
Global well-posedness and temporal decay estimates for the 3D nematic liquid crystal flows
On fractional Leibniz rule for Dirichlet Laplacian in exterior domain
Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
Boundedness of spectral multipliers for Schrödinger operators on open sets
On standing waves and gradient-flow for the Landau-De Gennes model of nematic liquid crystals
On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces
On the Navier-Stokes initial value problem. I
Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case
A short course on operator semigroups
Some constitutive equations for liquid crystals
The Green tensor of the nonstationary Stokes system in the half space
On asymptotic isotropy for a hydrodynamic model of liquid crystals
Moving Interfaces and Quasilinear Parabolic Evolution Equations
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
An Introduction to the Mathematical Theory of the Navier-Stokes Equations
On decay estimates of the 3D nematic liquid crystal flows in critical Besov spaces
On Strong Dynamics of Compressible Nematic Liquid Crystals
Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow
Nonparabolic dissipative systems modeling the flow of liquid crystals
Incompressible limit of the Ericksen-Leslie parabolic-hyperbolic liquid crystal model
The Leibniz rule for the Dirichlet and the Neumann Laplacian

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