Long-time behavior of solution for the compressible nematic liquid crystal flows in \(\mathbb R^3\)
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Publication:288740
DOI10.1016/j.jde.2016.04.033zbMath1347.35200arXiv1503.02865OpenAlexW2963827741MaRDI QIDQ288740
Qiang Tao, Jincheng Gao, Zheng-An Yao
Publication date: 27 May 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.02865
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Unnamed Item
- Decay of the Navier-Stokes-Poisson equations
- Solutions of incompressible hydrodynamic flow of liquid crystals
- Global existence of solutions of the simplified Ericksen-Leslie system in dimension two
- Strong solutions of the compressible nematic liquid crystal flow
- Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
- 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
- Hydrostatic theory of liquid crystals
- Liquid crystal flows in two dimensions
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Existence and partial regularity of static liquid crystal configurations
- 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
- Decay estimates for the compressible Navier-Stokes equations in unbounded domains
- The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- Classical solutions for the compressible liquid crystal flows with nonnegative initial densities
- On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in \(\mathbb R^3\)
- Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
- Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space
- Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one
- On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain
- Some constitutive equations for liquid crystals
- Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows
- Global Solution to the Three-Dimensional Compressible Flow of Liquid Crystals
- Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows
- Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Global existence of small solutions to a class of nonlinear evolution equations
- L2Decay for the Compressible Navier-Stokes Equations in Unbounded Domains
- Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
- Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ3
- Decay of Dissipative Equations and Negative Sobolev Spaces
- Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$
- Space-Time Regularity of the Koch and Tataru Solutions to the Liquid Crystal Equations
- Global Finite Energy Weak Solutions to the Compressible Nematic Liquid Crystal Flow in Dimension Three
