5 citations · 6 across the 7 of their papers we have counts for
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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…
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.
Charged Fluids in Porous Media
Mihaela Ignatova, Jingyang Shu
The Nernst-Planck-Darcy system models ionic electrodiffusion in porous media. We consider the system for two ionic species with opposite valences. We prove that the initial value p…
Global Solutions of the Nernst-Planck-Euler Equations
Mihaela Ignatova, Jingyang Shu
We consider the initial value problem for the Nernst-Planck equations coupled to the incompressible Euler equations in . We prove global existence of weak solutions fo…
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 (…