Regularity criteria for weak solutions to the Navier-Stokes equations in terms of spectral projections of vorticity and velocity

DOI10.1007/s00021-022-00728-wOpenAlexW4297370518MaRDI QIDQ2084971

Minsuk Yang, Jiří Neustupa, Patrick Penel

Publication date: 14 October 2022

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

Full work available at URL: https://doi.org/10.1007/s00021-022-00728-w

zbMATH Keywords

weak solutionNavier-Stokes equationsvorticityregularity criteria

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Cites Work

• A certain necessary condition of potential blow up for Navier-Stokes equations
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Remarks on spectra of operator rot
• On a selfadjoint realization of curl in exterior domains
• On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
• On the spectrum of a Stokes-type operator arising from flow around a rotating body
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Regularity of a Weak Solution to the Navier--Stokes Equations via One Component of a Spectral Projection of Vorticity
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