Helicity and regularity of weak solutions to 3D Navier-Stokes equations

DOI10.1007/s11565-021-00370-wzbMath1477.35134OpenAlexW3191904745MaRDI QIDQ2243613

Myong-Hwan Ri

Publication date: 11 November 2021

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-021-00370-w

zbMATH Keywords

regularityNavier-Stokes equationshelicity

Mathematics Subject Classification ID

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

Cites Work

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• On the global regularity of a helical-decimated version of the 3D Navier-Stokes equations
• Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity
• Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations
• Structure of helicity and global solutions of incompressible Navier-Stokes equation
• Physical space properties of helicity in quasi-homogeneous forced turbulence
• On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity
• Topological methods in hydrodynamics
• A regularity criterion for 3D Navier-Stokes equations via one component of velocity and vorticity
• Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry
• Vorticity and Incompressible Flow
• Influence of helicity on the evolution of isotropic turbulence at high Reynolds number
• Regularity of a Weak Solution to the Navier--Stokes Equations via One Component of a Spectral Projection of Vorticity

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