Logarithmically improved blow-up criterion for the nematic liquid crystal system with zero viscosity
From MaRDI portal
Publication:495609
DOI10.1007/s10231-014-0417-3zbMath1326.35296OpenAlexW1972271599MaRDI QIDQ495609
Yining Li, Qiao Liu, Ji-Hong Zhao
Publication date: 14 September 2015
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-014-0417-3
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Blow-up in context of PDEs (35B44)
Related Items (2)
Regularity criteria for the three dimensional Ericksen-Leslie system in homogeneous Besov spaces ⋮ Global existence and temporal decay for the nematic liquid crystal flows
Cites Work
- Unnamed Item
- Unnamed Item
- Well-posedness of nematic liquid crystal flow in \({L^3_{\mathrm{uloc}}(\mathbb R^3)}\)
- 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
- Global regularity and uniqueness of weak solution for the 2-D liquid crystal flows
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- Heat flow of harmonic maps whose gradients belong to \(L^{n}_{x}L^{\infty}_{t}\)
- Liquid crystal flows in two dimensions
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
- Bilinear estimates in \(BMO\) and the Navier-Stokes equations
- Logarithmically improved blow-up criteria for the nematic liquid crystal flows
- Some constitutive equations for liquid crystals
- Blow up Criterion for Nematic Liquid Crystal Flows
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Commutator estimates and the euler and navier-stokes equations
- Viscous flow in smectic A liquid crystals
- Interpolation inequalities in Besov spaces
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Blow up criterion for three‐dimensional nematic liquid crystal flows with partial viscosity
- Remarks on logarithmical regularity criteria for the Navier–Stokes equations
This page was built for publication: Logarithmically improved blow-up criterion for the nematic liquid crystal system with zero viscosity