Large friction limit of pressureless Euler equations with nonlocal forces

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:299

Article

Choi, Young-Pil¹ 

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

关键词: Large friction limit;    Pressureless Euler equations;    Nonlocal interaction forces;    Relative entropy;    Wasserstein distance;   

DOI  :  10.1016/j.jde.2021.07.024

来源: Elsevier

【 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.

【 授权许可】

Free