EXISTENCE OF ASYMMETRIC BURGERS VORTICES AND THEIR ASYMPTOTIC BEHAVIOR AT LARGE CIRCULATIONS

DOI10.1142/S0218202509003577zbMath1170.76012MaRDI QIDQ3636492

Yasunori Maekawa

Publication date: 30 June 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

fast rotationsymmetrizing effect

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous vortex flows (76D17)

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 ⋮ Enhanced dissipation and axisymmetrization of two-dimensional viscous vortices ⋮ 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

Cites Work

• Large time behavior of the vorticity two-dimensional viscous flow and its application to vortex formation
• Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation
• 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
• 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

This page was built for publication: EXISTENCE OF ASYMMETRIC BURGERS VORTICES AND THEIR ASYMPTOTIC BEHAVIOR AT LARGE CIRCULATIONS