Mathematics > Analysis of PDEs
arXiv:2505.17577 (math)
[Submitted on 23 May 2025 (v1), last revised 25 Jun 2026 (this version, v2)]
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.
Submission history
From: Valentin Lemarie [view email] [via CCSD proxy]
[v1]
Fri, 23 May 2025 07:36:46 UTC (21 KB)
[v2]
Thu, 25 Jun 2026 10:15:03 UTC (22 KB)
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