Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus

DOI10.1016/J.JFA.2024.110761MaRDI QIDQ6658251

P. G. Lemarié-Rieusset

Publication date: 8 January 2025

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsnonuniquenesslacunary Fourier seriessteady solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Cites Work

• Extension of a uniqueness class for the Navier-Stokes equations
• The Euler equations as a differential inclusion
• Nonuniqueness of weak solutions to the Navier-Stokes equation
• Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensions
• Unicité des solutions faibles de Navier-Stokes dans LN(Ω)
• Uniqueness of mild solutions of the Navier-Stokes equation and maximal Lp-regularity
• Sur l'unicité dans L3ℝ3 des solutions « mild » des équations de Navier-Stokes
• Well-posedness for the Navier-Stokes equations
• Uniqueness for mild solutions of Navier-Stokes equations in \(L^3(\mathbb{R}^3)\) and other limit functional spaces

This page was built for publication: Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6658251)