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arxiv: 2505.17577 · v2 · pith:KOVFSFFJnew · submitted 2025-05-23 · 🧮 math.AP

The Pressureless Euler--Navier--Stokes System

Valentin Lemari\'e (LAMA) This is my paper
classification 🧮 math.AP
keywords systempressurelessclosecriticaldatadecaydensityestimates
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Multiphase formulation of the Vlasov-Navier-Stokes equations

    math.AP 2026-06 unverdicted novelty 5.0

    Proves convergence of multiphase Vlasov-Navier-Stokes solutions to the pressureless Euler-Navier-Stokes system and studies the single-phase limit.