5 citations · 5 across the 3 of their papers we have counts for
4 papers
Stability of Weak Electrokinetic Flow
Fizay-Noah Lee
We consider the Nernst-Planck-Stokes system on a bounded domain of , with general nonequilibrium Dirichlet boundary conditions for the ionic concentrations. I…
On the global well-posedness and Gevrey regularity of some electrodiffusion models
Elie Abdo, Fizay-Noah Lee, Weinan Wang
We consider the Nernst-Planck equations describing the nonlinear time evolution of multiple ionic concentrations in a two-dimensional incompressible fluid. The velocity of the flui…
Interior Electroneutrality in Nernst-Planck-Navier-Stokes Systems
Peter Constantin, Mihaela Ignatova, Fizay-Noah Lee
We consider the limit of vanishing Debye length for ionic diffusion in fluids, described by the Nernst-Planck-Navier-Stokes system. In the asymptotically stable cases of blocking (…
Nernst-Planck-Navier-Stokes systems near equilibrium
Peter Constantin, Mihaela Ignatova, Fizay-Noah Lee
The Nernst-Planck-Navier-Stokes system models electrodiffusion of ions in a fluid. We prove global existence of solutions in bounded domains in three dimensions with either blockin…