On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System
Analysis of PDEs
2025-11-14 v1
Abstract
We study the problem of uniqueness of Leray solutions to the three-dimensional Vlasov-Navier-Stokes system. We establish uniqueness whenever the fluid velocity field belongs to the Cannone-Meyer-Planchon class, which allows to go beyond the Osgood uniqueness class. A stability estimate in this setting is also provided.
Keywords
Cite
@article{arxiv.2511.10099,
title = {On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System},
author = {D Han-Kwan and É Miot and A Moussa and I Moyano},
journal= {arXiv preprint arXiv:2511.10099},
year = {2025}
}