Spectral properties of the linearization at the Burgers vortex in the high rotation limit

DOI10.1007/s00021-010-0048-4zbMath1270.35350OpenAlexW2088062419MaRDI QIDQ361148

Yasunori Maekawa

Publication date: 28 August 2013

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

Full work available at URL: https://doi.org/10.1007/s00021-010-0048-4

zbMATH Keywords

Navier-Stokes equationsBurgers vorticesvortex Reynolds number

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Viscous vortex flows (76D17)

Related Items (9)

Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ Three-dimensional stability of Burgers vortices ⋮ Enhanced dissipation and axisymmetrization of two-dimensional viscous vortices ⋮ Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance ⋮ On the existence of Burgers vortices for high Reynolds numbers ⋮ On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain ⋮ Interaction of vortices in weakly viscous planar flows ⋮ Linear inviscid damping and enhanced dissipation for the Kolmogorov flow ⋮ On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows

Cites Work

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• Existence and stability of asymmetric Burgers vortices
• Stability and Structure of Stretched Vortices
• EXISTENCE OF ASYMMETRIC BURGERS VORTICES AND THEIR ASYMPTOTIC BEHAVIOR AT LARGE CIRCULATIONS
• Spatiotemporal intermittency and instability of a forced turbulence
• Structure and stability of non-symmetric Burgers vortices
• Asymptotic behavior for the vorticity equations in dimensions two and three
• On the two-dimensional stability of the axisymmetric Burgers vortex

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