Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions
From MaRDI portal
Publication:2439331
DOI10.1016/j.na.2013.12.023zbMath1285.35083arXiv1211.0131OpenAlexW2026427925MaRDI QIDQ2439331
Publication date: 14 March 2014
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.0131
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items
Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensor ⋮ A blow-up criterion for 2D compressible nematic liquid crystal flows in terms of density ⋮ Global regularity to the 3D incompressible nematic liquid crystal flows with vacuum ⋮ Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows ⋮ Local well-posedness of strong solutions to density-dependent liquid crystal system ⋮ Global well-posedness of the non-isothermal model for incompressible nematic liquid crystals ⋮ On the Cauchy problem of 3D nonhomogeneous incompressible nematic liquid crystal flows with vacuum ⋮ Global strong solution to the density-dependent 2-D liquid crystal flows ⋮ Global regularity to the 2D non-isothermal inhomogeneous nematic liquid crystal flows ⋮ Weak solution of a stochastic 2D Ericksen–Leslie model driven by jump noise ⋮ Global existence and exponential decay of strong solutions to the 2D density-dependent nematic liquid crystal flows with vacuum ⋮ Nonuniqueness of nematic liquid crystal flows in dimension three ⋮ Global strong solutions to incompressible Ericksen-Leslie system in \(\mathbb{R}^3\) ⋮ Global regularity to the 2D inhomogeneous liquid crystal flows with large initial data and vacuum ⋮ A remark on global strong solution of two‐dimensional inhomogeneous nematic liquid crystal flows in a bounded domain ⋮ Global strong solution to the two-dimensional density-dependent nematic liquid crystal flows with vacuum ⋮ Strong solutions to the density-dependent incompressible nematic liquid crystal flows ⋮ Large-time behavior of liquid crystal flows with a trigonometric condition in two dimensions ⋮ Global strong solutions for the incompressible nematic liquid crystal flows with density-dependent viscosity coefficient ⋮ Existence of strong solutions for the generalized nonhomogeneous Navier-Stokes-Landau-Lifshitz system ⋮ Strong solutions to the density-dependent incompressible nematic liquid crystal flows with heat effect ⋮ Existence and regularity for a model of viscous oriented fluid accounting for second-neighbor spin-to-spin interactions ⋮ Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows ⋮ Weak solution to the steady compressible flow of nematic liquid crystals ⋮ Existence and uniqueness of solution to one-dimensional compressible biaxial nematic liquid crystal flows ⋮ On the weak solutions to a stochastic 2D simplified Ericksen-Leslie model ⋮ Local well-posedness of nonhomogeneous incompressible liquid crystals model without compatibility condition
Cites Work
- Unnamed Item
- Unnamed Item
- Global weak solutions to a general liquid crystals system
- Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows
- Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\)
- Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions
- Global existence of weak solution for the 2-D Ericksen-Leslie system
- Solutions of incompressible hydrodynamic flow of liquid crystals
- Global existence of solutions of the simplified Ericksen-Leslie system in dimension two
- On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals
- Global solution to the incompressible flow of liquid crystals
- Regularity and existence of global solutions to the Ericksen-Leslie system in \({\mathbb{R}^2}\)
- Liquid crystal flows in two dimensions
- On energetic variational approaches in modeling the nematic liquid crystal flows
- Compact sets in the space \(L^ p(0,T;B)\)
- Existence of solutions for the Ericksen-Leslie system
- Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals
- On liquid crystal flows with free-slip boundary conditions
- Global weak solution and large-time behavior for the compressible flow of liquid crystals
- Some constitutive equations for liquid crystals
- Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions
- Global weak solution to the flow of liquid crystals system
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Global existence of strong solutions for incompressible hydrodynamic flow of liquid crystals with vacuum
- Propagation of elastic waves in liquid crystals
- Global strong solution to the density-dependent incompressible flow of liquid crystals
