The 3D liquid crystal system with Cannone type initial data and large vertical velocity

DOI10.3934/dcds.2017240zbMath1457.76039OpenAlexW2737956026MaRDI QIDQ2011779

Renhui Wan

Publication date: 7 August 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017240

zbMATH Keywords

global well-posednesscritical Besov space

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15)

Related Items

A new approach to the 3D liquid crystal system with large vertical velocity in the critical \(L^2\) framework

Cites Work

• 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
• Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
• Hydrostatic theory of liquid crystals
• Liquid crystal flows in two dimensions
• A generalization of a theorem by Kato on Navier-Stokes equations
• Global solutions to the 3D incompressible nematic liquid crystal system
• The existence and blow-up criterion of liquid crystals system in critical Besov space
• Well-posedness for the 3D incompressible nematic liquid crystal system in the critical \(L^p\) framework
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
• Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Nonparabolic dissipative systems modeling the flow of liquid crystals
• Well-posedness for the Navier-Stokes equations