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arXiv · 2610.38274

Moments propagation in the Vlasov equation and application to the Navier-Stokes-Vlasov equations

Yanqing Wang·Wei Wei·Yulin Ye·Huan Yu
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Abstract

In this paper, we study how the propagation of particle moments depends on the fluid velocity in the Vlasov equation. We present some new moment estimates involving the velocity in this equation. As an application, we establish Ladyzhenskaya-Prodi-Serrin-type regularity criteria involving only the velocity field for weak solutions of the 3D Navier-Stokes-Vlasov system.

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Yanqing Wang, Wei Wei, Yulin Ye, Huan Yu. 2026-10-28. Moments propagation in the Vlasov equation and application to the Navier-Stokes-Vlasov equations. https://arxiv.org/abs/2610.38274

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