On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System

Fuente: arXiv
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Autori principali: Han-Kwan, D, Miot, É, Moussa, A, Moyano, I
Natura: Preprint
Pubblicazione: 2025
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author Han-Kwan, D
Miot, É
Moussa, A
Moyano, I
author_facet Han-Kwan, D
Miot, É
Moussa, A
Moyano, I
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_10099
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System
Han-Kwan, D
Miot, É
Moussa, A
Moyano, I
Analysis of PDEs
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.
title On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System
topic Analysis of PDEs
url https://arxiv.org/abs/2511.10099