142 citations · 274 across the 18 of their papers we have counts for
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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 Far From Equilibrium
Peter Constantin, Mihaela Ignatova, Fizay-Noah Lee
We consider ionic electrodiffusion in fluids, described by the Nernst-Planck-Navier-Stokes system. We prove that the system has global smooth solutions for arbitrary smooth data: a…
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…