3 papers
math.AP2026
A transient depth-averaged lava flow model with a Herschel-Bulkley rheology accounting for three phases
Julie Binard, Alain Burgisser, Enrique D. Fernández-Nieto +1
This study presents a three-phase suspension lava flow model with a Herschel-Bulkley rheology. The suspension contains crystals and gas bubbles, and two closures for the evolution…
math.NA2025
A Particle method for stationary transport equations
Rafael Bailo, Julie Binard, Pierre Degond +1
We present and study a Particle method for the stationary solutions of a class of transport equations. This method is inspired by non-stationary Particle methods, the time variable…
math.AP2022
Well-posedness and stability analysis of a landscape evolution model
Julie Binard, Pierre Degond, Pascal Noble
In this paper, we consider a system of partial differential equations modeling the evolution of a landscape. A ground surface is eroded by the flow of water over it, either by sedi…