19 citations · 20 across the 2 of their papers we have counts for
2 papers
math.AP2005★ 1 cited
A geometric approximation to the Euler equations: the Vlasov-Monge-Ampere system
Yann Brenier, Gregoire Loeper
This paper studies the Vlasov-Monge-Ampere system (VMA), a fully non-linear version of the Vlasov-Poisson system (VP) where the (real) Monge-Ampere equation substitutes for the usu…
math.AP2003★ 19 cited
Some geometric PDEs related to hydrodynamics and electrodynamics
Yann Brenier
We discuss several geometric PDEs and their relationship with Hydrodynamics and classical Electrodynamics. We start from the Euler equations of ideal incompressible fluids that, ge…