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arXiv · 2102.01817

Relaxation to fractional porous medium equation from Euler--Riesz system

Young-Pil Choi·In-Jee Jeong
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Abstract

We perform asymptotic analysis for the Euler--Riesz system posed in either $\mathbb{T}^d$ or $\mathbb{R}^d$ in the high-force regime and establish a quantified relaxation limit result from the Euler--Riesz system to the fractional porous medium equation. We provide a unified approach for asymptotic analysis regardless of the presence of pressure, based on the modulated energy estimates, the Wasserstein distance of order $2$, and the bounded Lipschitz distance.

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Young-Pil Choi, In-Jee Jeong. 2021-02-03. Relaxation to fractional porous medium equation from Euler--Riesz system. https://arxiv.org/abs/2102.01817

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