Large friction limit of pressureless Euler equations with nonlocal forces

[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.

[发布日期] 2021-10-25

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