Compressible Euler equations with transport noise
Analysis of PDEs
2025-11-26 v1 Probability
Abstract
We study the isentropic compressible Euler equations in multi-dimensions with stochastic perturbation of transport type. On the one hand, this is motivated by the physical modelling in turbulence theory. On the other hand, it has been shown recently that this type of noise can have regularising effects. In this paper, we prove the existence of dissipative measure-valued martingale solutions, the weak-strong uniqueness property and the existence of Markov selections.
Cite
@article{arxiv.2511.20131,
title = {Compressible Euler equations with transport noise},
author = {Richard Boadi and Dominic Breit and Thamsanqa Castern Moyo},
journal= {arXiv preprint arXiv:2511.20131},
year = {2025}
}