Large Time Behavior of the Vlasov-Navier-Stokes System on the Torus

被引：22
|
作者：
Han-Kwan, Daniel [1 ]
Moussa, Ayman [2 ]
Moyano, Ivan [3 ]
机构：
[1] Ecole Polytech, Inst Polytech Paris, Ctr Math Laurent Schwartz, UMR 7640, F-91128 Palaiseau, France
[2] Univ Paris, Sorbonne Univ, CNRS, LJLL, F-75005 Paris, France
[3] Univ Nice Sophia Antipolis, Lab JA Dieudonne, UMR7351, Parc Valrose, F-06108 Nice 02, France
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2020年 / 236卷 / 03期
基金：
欧洲研究理事会;
关键词：
GLOBAL EXISTENCE; WELL-POSEDNESS; AEROSOL FLOWS; EQUATIONS; DERIVATION; PARTICLES; LIMIT;
D O I：
10.1007/s00205-020-01491-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the large time behavior of Fujita-Kato type solutions to the Vlasov-Navier-Stokes system set on T3xR3. 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 us to get global bounds on moments.
引用
收藏
页码：1273 / 1323
页数：51
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