Large friction limit of pressureless Euler equations with nonlocal forces

被引：11
作者：
Choi, Young-Pil [1 ]
机构：
[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 299卷
基金：
新加坡国家研究基金会;
关键词：
Large friction limit; Pressureless Euler equations; Nonlocal interaction forces; Relative entropy; Wasserstein distance; VLASOV-TYPE EQUATIONS; CUCKER-SMALE MODEL; CRITICAL THRESHOLDS; HYDRODYNAMIC LIMIT; RELAXATION LIMIT; RELATIVE ENTROPY; WEAK SOLUTIONS; ALIGNMENT; DYNAMICS;
D O I：
10.1016/j.jde.2021.07.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We rigorously show a large friction limit of hydrodynamic models with alignment, attractive, and repulsive effects. More precisely, we consider pressureless Euler equations with nonlocal forces and provide a quantitative estimate of large friction limit to a continuity equation with nonlocal velocity fields, which is often called an aggregation equation. Our main strategy relies on the relative entropy argument combined with the estimate of p-Wasserstein distance between densities. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：196 / 228
页数：33
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