Uniqueness of axisymmetric viscous flows originating from circular vortex filaments

DOI10.24033/asens.2402zbMath1461.35182arXiv1609.02030OpenAlexW3007570702MaRDI QIDQ5206179

Vladimír Šverák, Thierry Gallay

Publication date: 18 December 2019

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02030

zbMATH Keywords

Navier-Stokes equationsuniquenessvortex filamentsaxially symmetric solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20) Viscous vortex flows (76D17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Axially symmetric solutions to PDEs (35B07)

Related Items (8)

Vanishing viscosity limit for concentrated vortex rings ⋮ Non-uniqueness of Leray solutions of the forced Navier-Stokes equations ⋮ Vortex Filament Solutions of the Navier‐Stokes Equations ⋮ Remarks on the global well-posedness of the axisymmetric Boussinesq system with rough initial data ⋮ On the global stability of large Fourier mode for 3-D Navier-Stokes equations ⋮ Vanishing viscosity limits for axisymmetric flows with boundary ⋮ Uniqueness criteria for the Oseen vortex in the 3d Navier-Stokes equations ⋮ Global time evolution of concentrated vortex rings

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