Existence of global weak solutions to an inhomogeneous Doi model for active liquid crystals
DOI10.1016/j.jde.2023.01.006OpenAlexW3040112350MaRDI QIDQ2689463
Publication date: 10 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16832
Navier-Stokes equationexistence of weak solutionsliquid crystalsDoi modelglobal entropy solutionactive material
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) NLS equations (nonlinear Schrödinger equations) (35Q55) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)
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Cites Work
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- Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows
- Global existence and regularity of solutions for active liquid crystals
- Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
- Compact families of piecewise constant functions in \(L^p (0,T;B)\)
- Liquid crystals with variable degree of orientation
- Global well-posedness for the dynamical \(Q\)-tensor model of liquid crystals
- Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
- Continuity of velocity gradients in suspensions of rod-like molecules
- Compact sets in the space \(L^ p(0,T;B)\)
- An antipodally symmetric distribution on the sphere
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- Existence of solutions for the Ericksen-Leslie system
- Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions
- From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals
- A molecular kinetic theory of inhomogeneous liquid crystal flow and the small Deborah number limit
- Nonlinear Fokker-Planck Navier-Stokes systems
- Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential
- Some constitutive equations for liquid crystals
- On micro–macro-models for two-phase flow with dilute polymeric solutions — modeling and analysis
- EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS II: HOOKEAN-TYPE MODELS
- Well-Posedness of a Fully Coupled Navier--Stokes/Q-tensor System with Inhomogeneous Boundary Data
- Meso-scale turbulence in living fluids
- EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS
- Global Existence and Regularity for the Full Coupled Navier–Stokes andQ-Tensor System
- Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
- On the New Multiscale Rodlike Model of Polymeric Fluids
- Structure of the set of stationary solutions of the navier‐stokes equations
- The structure of equilibrium solutions of the one-dimensional Doi equation
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- The Small Deborah Number Limit of the Doi‐Onsager Equation to the Ericksen‐Leslie Equation
- A new proof on axisymmetric equilibria of a three-dimensional Smoluchowski equation
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