3 papers
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…
physics.flu-dyn2025
Physics-informed, boundary-constrained Gaussian process regression for the reconstruction of fluid flow fields
Adrian Padilla-Segarra, Pascal Noble, Olivier Roustant +1
Gaussian process regression techniques have been used in fluid mechanics for the reconstruction of flow fields from a reduction-of-dimension perspective. A main ingredient in this…
math.AP2010
Mathematical derivation of viscous shallow-water equations with zero surface tension
Didier Bresch, Pascal Noble
The purpose of this paper is to derive rigorously the so called viscous shallow water equations given for instance page 958-959 in [A. Oron, S.H. Davis, S.G. Bankoff, Rev. Mod. Phy…