Mihaela Ignatova, Temple University

Abstract: We consider models of electroconvection in fluids, in which a fluid interacts with an electrical charge density. The fluid obeys Navier-Stokes equations driven by the electrical and body forces. The charge density is carried by the fluid and electrical fluxes. I will discuss results regarding the regularity of solutions and their long time dynamics. I will also discuss the active scalar equation obtained when the Navier-Stokes equations are replaced by Darcy's law.