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

页码：1273 / 1323

页数：51

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