On the existence of Burgers vortices for high Reynolds numbers

DOI10.1016/j.jmaa.2008.08.009zbMath1156.35075OpenAlexW1968936383MaRDI QIDQ952157

Yasunori Maekawa

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69655

zbMATH Keywords

Navier-Stokes equationsBurgers vorticesvortex Reynolds number

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Solutions to PDEs in closed form (35C05)

Related Items (8)

On nonexistence for stationary solutions to the Navier-Stokes equations with a linear strain ⋮ Spectral properties of the linearization at the Burgers vortex in the high rotation limit ⋮ Blow-up problems in the strained vorticity dynamics and critical exponents ⋮ Three-dimensional stability of Burgers vortices ⋮ Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations ⋮ Enhanced dissipation and axisymmetrization of two-dimensional viscous vortices ⋮ 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

Cites Work

• Spectral properties of the linearization at the Burgers vortex in the high rotation limit
• Large time behavior of the vorticity two-dimensional viscous flow and its application to vortex formation
• Three-dimensional stability of Burgers vortices: the low Reynolds number case
• Global stability of vortex solutions of the two-dimensional Navier-Stokes equation
• 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
• One-Parameter Semigroups for Linear Evolution Equations
• Asymptotic behavior for the vorticity equations in dimensions two and three
• On the two-dimensional stability of the axisymmetric Burgers vortex
• Analytic semigroups and optimal regularity in parabolic problems

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