Showing 2024 · math.APShow all
3 papers · 2 filters
math.AP2024
On the Dirichlet Fractional Laplacian and Applications to the SQG Equation on Bounded Domains
Elie Abdo, Quyuan Lin
We investigate new properties of the fractional Dirichlet Laplacian on smooth bounded domains and establish fractional product estimates and nonlinear Poincaré inequalities. We al…
math.AP2024
Long Time Dynamics Of The Three-dimensional Nernst-Planck-Darcy Model
Elie Abdo, ÄorÄe NikoliÄ
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.AP2024
On the Three-dimensional Nernst-Planck-Boussinesq System
Elie Abdo, Ruimeng Hu, Quyuan Lin
In this paper, we analyze a three-dimensional Nernst-Planck-Boussinesq (NPB) system that describes ionic electrodiffusion in an incompressible viscous fluid. This new model incorpo…