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arXiv · 2505.17577

The Pressureless Euler--Navier--Stokes System

Valentin Lemarié
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Abstract

In this paper, we study the well-posedness of the pressureless Euler-Navier-Stokes system in $\R^d$ (with $d\geq 2$) in the critical regularity setting for a density close to $0$. We prove a global existence result for small data for this system, and then give optimal time decay estimates.

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Valentin Lemarié. 2025-05-23. The Pressureless Euler--Navier--Stokes System. https://arxiv.org/abs/2505.17577

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