2 papers
math.AP2024
Long Time Dynamics Of The Three-dimensional Nernst-Planck-Darcy Model
Elie Abdo, Đorđe Nikolić
We consider an electrodiffusion model describing the evolution of ionic species in a three-dimensional fluid flowing through a porous medium and forced by added body charges. W…
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…