1 citations · 2 across the 21 of their papers we have counts for
5 papers · 2 filters
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…
Unique Ergodicity in Stochastic Electroconvection
Elie Abdo, Nathan Glatt-Holtz, Mihaela Ignatova
We consider a stochastic electroconvection model describing the nonlinear evolution of a surface charge density in a two-dimensional fluid with additive stochastic forcing. We prov…
Long Time Behavior of Solutions of an Electroconvection Model in
Elie Abdo, Mihaela Ignatova
We consider a two dimensional electroconvection model which consists of a nonlinear and nonlocal system coupling the evolutions of a charge distribution and a fluid. We show that t…
Invariant Measures for a Stochastic Electroconvection Model
Elie Abdo, Mihaela Ignatova
We consider a stochastic electroconvection model describing the nonlinear evolution of a surface charge density in a two-dimensional fluid with additive stochastic forcing. We prov…
On Electroconvection in Porous Media
Elie Abdo, Mihaela Ignatova
We address existence, uniqueness and analyticity of solutions of an electroconvection model in porous media.