Existence and blow up criterion for strong solutions to the compressible biaxial nematic liquid crystal flow

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Cites Work

Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions
A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
Strong solutions of the compressible nematic liquid crystal flow
Existence of global solutions for 2-dimensional viscous compressible flows
On \(BMO\) regularity for linear elliptic systems
Unique solvability of the initial boundary value problems for compressible viscous fluids.
Classical solutions for the compressible liquid crystal flows with nonnegative initial densities
Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
Remarks on the Euler equation
Existence and uniqueness of solution to one-dimensional compressible biaxial nematic liquid crystal flows
Orientability and asymptotic convergence of \(Q\)-tensor flow of biaxial nematic liquid crystals
Weak solutions of non-isothermal nematic liquid crystal flow in dimension three
A new blowup criterion for strong solutions of the compressible nematic liquid crystal flow
Compressible hydrodynamic flow of nematic liquid crystals with vacuum
Blow up criterion for compressible nematic liquid crystal flows in dimension three
Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one
Weak-strong uniqueness property for the compressible flow of liquid crystals
A blow-up criterion for compressible nematic liquid crystal flows
A blow-up criterion for the compressible liquid crystals system
Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
A note on limiting cases of sobolev embeddings and convolution inequalities
Estimating ∇u by divu and curlu
Existence of solutions to incompressible biaxial nematic liquid crystals flows
Global Finite Energy Weak Solutions to the Compressible Nematic Liquid Crystal Flow in Dimension Three
Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

This page was built for publication: Existence and blow up criterion for strong solutions to the compressible biaxial nematic liquid crystal flow