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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…
math.AP2023
From Stochastic Hamiltonian Systems to Stochastic Compressible Euler Equation
Jesus Correa, Christian Olivera
We study a stochastic Hamiltonian system of particles with many particles interacting through a potential whose range is large in comparison with the typical distance between n…