Author

Elie Abdo

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

Generalized Logarithmic Sobolev inequalities on Bounded Domains and exponential decay to Boltzmann states for Nernst--Planck--Navier--Stokes systems

We derive logarithmic Sobolev inequalities on bounded domains for nonnegative functions that are prescribed on a portion of the boundary, and for Boltzmann-weighted reference measures. We use them to address the long-time dynamics of the Nernst--Planck--Navier--Stokes system with Dirichlet, blocking and mixed boundary...

Elie Abdo · 0 citations

Preprint Aug 2026

Entropy Analysis of some Active Scalar Equations

We study a broad family of active scalar equations with fractional dissipation on $\mathbb{R}^2$ and prove that their entropy diverges to $-\infty$ at a sharp rate of order $\log t$. The proof is based on a suitable regularization scheme, uniform entropy estimates, and a limiting argument via the Vitali convergence the...

Elie Abdo · 0 citations