Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces

DOI10.1007/s00021-023-00789-5zbMath1522.35363arXiv1704.00560OpenAlexW2604966294MaRDI QIDQ6103929

Julien Guillod, Vladimír Šverák

Publication date: 5 June 2023

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00560

zbMATH Keywords

Navier-Stokes equationsCauchy problemnon-uniquenessscale-invariant solutionsLeray-Hopf solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Axially symmetric solutions to PDEs (35B07)

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