Gluing non-unique Navier-Stokes solutions

DOI10.1007/s40818-023-00155-8zbMath1529.35323arXiv2209.03530OpenAlexW4387327757MaRDI QIDQ6067397

Maria Colombo, Elia Bruè, Dallas Albritton

Publication date: 14 December 2023

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.03530

zbMATH Keywords

Navier-Stokes equationsnon-uniquenessgluingLeray-Hopf solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

On stationary Navier-Stokes equations in the upper-half plane

Cites Work

• The Navier-Stokes equations. An elementary functional analytic approach
• On the evolution of harmonic mappings of Riemannian surfaces
• Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
• Singularity formation for the two-dimensional harmonic map flow into \(S^2\)
• Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?
• A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Lectures on Navier-Stokes Equations
• Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik

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