Large friction limit of pressureless Euler equations with nonlocal forces

Young-Pil Choi

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arXiv · 2002.01691

Large friction limit of pressureless Euler equations with nonlocal forces

Young-Pil Choi

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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 $p$-Wasserstein distance between densities.

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Young-Pil Choi. 2020-02-05. Large friction limit of pressureless Euler equations with nonlocal forces. https://arxiv.org/abs/2002.01691

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