Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system
We prove a regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system with the Coulomb gauge in . It is proved that if the velocity field in the Besov space satisfies some integral property, then the solution keeps its smoothness.