PreprintCC BY 4.0arXiv
Moments propagation in the Vlasov equation and application to the Navier-Stokes-Vlasov equations
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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BibTeX
@misc{wang2026moments,
title = {{Moments propagation in the Vlasov equation and application to the Navier-Stokes-Vlasov equations}},
author = {Yanqing Wang and Wei Wei and Yulin Ye and Huan Yu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38274},
eprint = {2610.38274},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38274},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Moments propagation in the Vlasov equation and application to the Navier-Stokes-Vlasov equations
AU - Yanqing Wang
AU - Wei Wei
AU - Yulin Ye
AU - Huan Yu
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38274
UR - https://arxiv.org/abs/2610.38274
AB - 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.
ER -