Stationary flows with highly localized vorticity of the incompressible viscous fluid at large Reynolds numbers

DOI10.1016/j.aml.2022.108500zbMath1503.76025OpenAlexW4308931840MaRDI QIDQ2106136

Sun-Chul Kim, Hisashi Okamoto

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108500

zbMATH Keywords

Fourier expansiontwo-dimensional Navier-Stokes equationsvortex sheetKolmogorov flowalmost irrotational flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Viscous vortex flows (76D17)

Cites Work

• Vortices of large scale appearing in the 2D stationary Navier-Stokes equations at large Reynolds numbers
• Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori
• A study of bifurcation of Kolmogorov flows with an emphasis on the singular limit
• Unimodal patterns appearing in the two-dimensional Navier-Stokes flows under general forcing at large Reynolds numbers
• Vorticity and Incompressible Flow
• Unimodal patterns appearing in the Kolmogorov flows at large Reynolds numbers
• Kolmogorov's hydrodynamic attractors
• On Prandtl--Batchelor Theory of a Cylindrical Eddy: Asymptotic Study
• The onset of chaos in vortex sheet flow
• Vortex sheet roll-up revisited
• Numerical computation of vortex sheet roll-up in the background shear flow

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