Global smooth solution to the \(n\)-dimensional liquid crystal equations with fractional dissipation

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

Global regularity for a class of generalized magnetohydrodynamic equations
Logarithmically improved BKM's criterion for the 3D nematic liquid crystal flows
Two new regularity criteria for nematic liquid crystal flows
Remarks on the regularity criterion for the nematic liquid crystal flows in \(\mathbb{R}^3\)
Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
A regularity criterion for the nematic liquid crystal flows
Regularity criterion to some liquid crystal models and the Landau-Lifshitz equations in \(\mathbb R^{3}\)
Continuum theory for nematic liquid crystals
Generalized MHD equations.
Existence of solutions for the Ericksen-Leslie system
Global regularity of the generalized liquid crystal model with fractional diffusion
A further note on the regularity criterion for the 3D nematic liquid crystal flows
A maximum principle applied to quasi-geostrophic equations
On the regularity criteria for liquid crystal flows
Note on global regular solution to the 3D liquid crystal equations
Blow-up criterion for the 3D nematic liquid crystal flows via one velocity and vorticity components and molecular orientations
Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions
Global existence of solutions to the 2D incompressible liquid crystal flow with fractional diffusion
Vorticity and incompressible flow
Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
Commutator estimates and the euler and navier-stokes equations
Nonparabolic dissipative systems modeling the flow of liquid crystals

This page was built for publication: Global smooth solution to the \(n\)-dimensional liquid crystal equations with fractional dissipation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6590333)