Illposedness of incompressible fluids in supercritical Sobolev spaces

Duke Mathematical Journal 2026 Open access

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Authors: Xiaoyutao Luo
DOI: 10.1215/00127094-2025-0074
Cited by: 0
References: 51

Abstract

We prove that the 3-dimensional (3D) Euler and Navier–Stokes equations are strongly ill posed in supercritical Sobolev spaces. In the inviscid case, for any 0

Fields of Study & Subjects

Navier-Stokes equation solutions Advanced Mathematical Physics Problems Computational Fluid Dynamics and Aerodynamics

Publication details

Journal / source
Duke Mathematical Journal
Publisher
Duke University Press
Volume
175
Issue
12
Pages
2299–2329
Publication date
25 August 2026
Language
EN