Large time behavior of the Vlasov-Navier-Stokes system on the torus
Analysis of PDEs
2020-03-18 v2
Abstract
We study the large time behavior of Fujita-Kato type solutions to the Vlasov-Navier-Stokes system set on . Under the assumption that the initial so-called modulated energy is small enough, we prove that the distribution function converges to a Dirac mass in velocity, with exponential rate. The proof is based on the fine structure of the system and on a bootstrap analysis allowing to get global bounds on moments.
Keywords
Cite
@article{arxiv.1902.03864,
title = {Large time behavior of the Vlasov-Navier-Stokes system on the torus},
author = {Daniel Han-Kwan and Ayman Moussa and Iván Moyano},
journal= {arXiv preprint arXiv:1902.03864},
year = {2020}
}