2 papers
math.AP2026
Semi-explicit entropic solution to a generalised Riemann problem in some hydrological context
Brice Franke, Majid Lagnaoui, Catherine Rainer
We discuss solutions of the one dimensional scalar conservation law with the flux function $y\longmapsto G_{c,Ï}\left(y\right)=((1-Ï)c-y)\mathbb{1}_{\{y>c\}}-Ïy\mathbb{1}_{\{y\l…
math.PR2024
A generic approach to homogenization of a diffusion driven by growing incompressible drift
Brice Franke, Shuenn-Jyi Sheu
We study how the resolvent-family of a diffusion behaves, as thedrift grows to infinity. The limit turns out to be a selfadjoint pseudo-resolvent.After reduction of the underlying…