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math.AP2026
Entropy Analysis of some Active Scalar Equations
Elie Abdo
We study a broad family of active scalar equations with fractional dissipation on and prove that their entropy diverges to at a sharp rate of order $\log t…
math.AP2026
Long time dynamics of the Nernst-Planck-Darcy System on
Elie Abdo, Joe Germany, Mohammad Khalil Hamdan +1
We study ionic electrodiffusion modeled by the Nernst--Planck equations describing the evolution of ionic species in a three-dimensional incompressible fluid flowing through a…