Local and global well-posedness results for flows of inhomogeneous viscous fluids
Local and global well-posedness results for flows of inhomogeneous viscous fluids
This paper is devoted to the the study of density-dependent, incompressible Navier-Stokes equations with periodic boundary conditions, or in the whole space. We aim at stating well-posedness in functional spaces as close as possible to the ones imposed by the scaling of the equations. Preliminary results have been obtained in …