Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals
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Publication:1706618
DOI10.1016/j.jde.2018.01.045zbMath1388.35056arXiv1210.1269OpenAlexW2963325316MaRDI QIDQ1706618
Publication date: 22 March 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.1269
Related Items (10)
Global weak solutions of 3D compressible nematic liquid crystal flows with discontinuous initial data and vacuum ⋮ Global well-posedness to the compressible nematic liquid crystal flows with large oscillations and vacuum in 3D exterior domains ⋮ Optimal time-decay rates of the 3D compressible nematic liquid crystal flows with discontinuous initial data and large oscillations ⋮ The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain ⋮ Global strong solutions to the compressible nematic liquid crystal flows with large oscillations and vacuum in 2D bounded domains ⋮ Global existence of strong solutions with large oscillations and vacuum to the compressible nematic liquid crystal flows in 3D bounded domains ⋮ Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions ⋮ On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain ⋮ Global well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum ⋮ On the global existence of classical solutions for compressible nematic liquid crystal flows with vacuum
Cites Work
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- 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 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
- Blowup criterion for viscous baratropic flows with vacuum states
- Global regularity and uniqueness of weak solution for the 2-D liquid crystal flows
- Strong solutions of the compressible nematic liquid crystal flow
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- Compressible hydrodynamic flow of liquid crystals in 1-D
- Liquid crystal flows in two dimensions
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
- Large-time behaviour of solutions to the Navier-Stokes equations of compressible flow
- Blow up criterion for compressible nematic liquid crystal flows in dimension three
- Global low-energy weak solutions of the equations of three-dimensional compressible magnetohydrodynamics
- On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain
- Finite time singularity of the nematic liquid crystal flow in dimension three
- Global Solution to the Three-Dimensional Compressible Flow of Liquid Crystals
- Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
- Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Weakly Differentiable Functions
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Global Finite Energy Weak Solutions to the Compressible Nematic Liquid Crystal Flow in Dimension Three
- On the existence of globally defined weak solutions to the Navier-Stokes equations
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