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arXiv · 2511.10099

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

D Han-Kwan·É Miot·A Moussa·I Moyano
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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.

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D Han-Kwan, É Miot, A Moussa, I Moyano. 2025-11-13. On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System. https://arxiv.org/abs/2511.10099

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