32 citations · 73 across the 10 of their papers we have counts for
11 papers · 1 filter
Global existence of weak solutions to a nematic electrolyte model in 2D
Hengrong Du, Fizay-Noah Lee, Gieri Simonett
In this paper, we study a system of partial differential equations modeling the dynamics of nematic electrolytes on a two-dimensional torus . The model couples the Po…
On nematic electrolytes
Hengrong Du, Fizay-Noah Lee, Gieri Simonett
We study a system of nonlinear partial differential equations modeling the electrokinetics of a nematic electrolyte material consisting of various ion species suspended in a nemati…
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…
Logarithmic Sobolev Inequalities for Bounded Domains and Applications to Drift-Diffusion Equations
Elie Abdo, Fizay-Noah Lee
We prove logarithmic Sobolev inequalities on higher-dimensional bounded smooth domains based on novel Gagliardo-Nirenberg type interpolation inequalities. Moreover, we use them to…
Long Time Dynamics of Nonequilibrium Electroconvection
Fizay-Noah Lee
The Nernst-Planck-Stokes (NPS) system models electroconvection of ions in a fluid. We consider the system, for two oppositely charged ionic species, on three dimensional bounded do…
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…
Existence and Stability of Nonequilibrium Steady States of Nernst-Planck-Navier-Stokes Systems
Peter Constantin, Mihaela Ignatova, Fizay-Noah Lee
We consider the Nernst-Planck-Navier-Stokes system in a bounded domain of , with general nonequilibrium Dirichlet boundary conditions for the ionic concent…
Global Regularity for Nernst-Planck-Navier-Stokes Systems with Mixed Boundary Conditions
Fizay-Noah Lee
We consider electrodiffusion of ions in fluids, described by the Nernst-Planck-Navier-Stokes system, in three dimensional bounded domains, with mixed blocking (no-flux) and selecti…
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…