Damped Euler system with attractive Riesz interaction forces

被引：0

作者：

Choi, Young-Pil ^{[1
]}

Jung, Jinwook ^{[2
,3
]}

Lee, Yoonjung ^{[1
]}

机构：

[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea

[2] Hanyang Univ, Dept Math, 222 Wangsimni Ro, Seoul 04763, South Korea

[3] Hanyang Univ, Res Inst Nat Sci, 222 Wangsimni Ro, Seoul 04763, South Korea

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2024年 / 24卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Euler-Riesz system; Attractive Riesz interactions; Global existence; Large-time behavior; VLASOV-MANEV EQUATIONS; SINGULARITY FORMATION; WELL-POSEDNESS;

D O I：

10.1007/s00028-024-00998-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the barotropic Euler equations with pairwise attractive Riesz interactions and linear velocity damping in the periodic domain. We establish the global-in-time well-posedness theory for the system near an equilibrium state if the coefficient of the Riesz interaction term is small. We also analyze the large-time behavior of solutions showing the exponential rate of convergence toward the equilibrium state as time goes to infinity.

引用

页数：36

共 17 条

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