Large friction limit of pressureless Euler equations with nonlocal forces
Analysis of PDEs
2020-09-29 v2
Abstract
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 -Wasserstein distance between densities.
Cite
@article{arxiv.2002.01691,
title = {Large friction limit of pressureless Euler equations with nonlocal forces},
author = {Young-Pil Choi},
journal= {arXiv preprint arXiv:2002.01691},
year = {2020}
}