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math.AP2023★ 1 cited
On the Long-time Dynamics and Ergodicity of the Stochastic Nernst-Planck-Navier-Stokes System
Elie Abdo, Ruimeng Hu, Quyuan Lin
We consider an electrodiffusion model that describes the intricate interplay of multiple ionic species with a two-dimensional, incompressible, viscous fluid subjected to stochastic…
math.AP2023
Long time dynamics of a fractional dissipative model of electroconvection in bounded domains
E. Abdo, M. Ignatova
We consider a nonlocal nonlinear model with fractional diffusion motivated by studies of electroconvection phenomena in incompressible viscous fluids. We address the global well-po…
math.AP2023
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions
Elie Abdo, Weinan Wang
We consider the inhomogeneous heat equation on the half-space with Neumann boundary conditions. We prove a space-time Gevrey regularity of the solution, with a…