We consider the limit of vanishing Debye length for ionic diffusion in fluids, described by Nernst–Planck–Navier–Stokes system. In asymptotically stable cases blocking (vanishing normal flux) and uniform selective (special Dirichlet) boundary conditions concentrations, we prove that charge density $$\rho $$ converges time to zero interior domain, ( $$\epsilon \rightarrow 0$$ ). The order limits...

We consider ionic electrodiffusion in fluids, described by the Nernst–Planck–Navier–Stokes system. prove that system has global smooth solutions for arbitrary data bounded domains with a boundary three space dimensions, following situations. consider: positive Dirichlet conditions concentrations, potential, initial and regular divergence-free velocities. Global regularity holds any positive, po...