Locally space-time anisotropic regularity criteria for the Navier-Stokes equations in terms of two vorticity components

DOI10.1007/s00021-020-00544-0zbMath1466.35289OpenAlexW3137700533MaRDI QIDQ2026699

Zdeněk Skalák

Publication date: 20 May 2021

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

Full work available at URL: https://doi.org/10.1007/s00021-020-00544-0

zbMATH Keywords

Navier-Stokes equationsregularity criteriadirection of vorticity

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)

Related Items

Regularity criteria for 3D shear‐thinning fluids in terms of two components of vorticity ⋮ On the vorticity direction and the regularity of 3D Navier–Stokes equations ⋮ A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation

Cites Work

• On a family of results concerning direction of vorticity and regularity for the Navier-Stokes equations
• On vorticity directions near singularities for the Navier-Stokes flows with infinite energy
• The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier--Stokes equations.
• Navier-Stokes equations: some questions related to the direction of the vorticity
• On the regularizing effect of the vorticity direction in incompressible viscous flows
• Continuous alignment of vorticity direction prevents the blow-up of the Navier-Stokes flow under the no-slip boundary condition
• Interpolation between algebraic and geometric conditions for smoothness of the vorticity in the 3D NSE
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