The Pressureless Euler-Navier-Stokes System
Analysis of PDEs
2025-05-26 v1
Abstract
In this paper, we study the well-posedness of the pressureless Euler-Navier-Stokes system in (with ) in the critical regularity setting for a density close to . We prove a global existence result for small data for this system, and then give optimal time decay estimates.
Cite
@article{arxiv.2505.17577,
title = {The Pressureless Euler-Navier-Stokes System},
author = {Valentin Lemarié},
journal= {arXiv preprint arXiv:2505.17577},
year = {2025}
}