2 papers
math.AP2024
From particle systems to the stochastic compressible Navier-Stokes equations of a barotropic fluid
Jesus Correa, Christian Olivera
We propose a mathematical derivation of stochastic compressible Navier-Stokes equation. We consider many-particle systems with a Hamiltonian dynamics supplemented by a friction ter…
math.AP2023
From Hamiltonian Systems to Compressible Euler Equation driven by additive Hölder noise
Jesus Correa, Juan Londoño, Christian Olivera
We derive stochastic compressible Euler Equation from a Hamiltonian microscopic dynamics. We consider systems of interacting particles with Hölder noise and potential whose range i…