The Nonlinear Critical Layer for Kelvin Modes on a Vortex with a Continuous Velocity Profile

DOI10.1137/060658515zbMath1186.76642OpenAlexW2020660838MaRDI QIDQ3507490

S. A. Maslowe, Nilima Nigam

Publication date: 19 June 2008

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060658515

zbMATH Keywords

eigenvalue problemsingularitymethod of characteristicsviscosityresonant condition

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Viscous vortex flows (76D17)

Related Items (4)

On Reynolds stress and neutral azimuthal modes in the stability problem of swirling flows with radius-dependent density ⋮ Exact and asymptotic conditions on traveling wave solutions of the Navier–Stokes equations ⋮ A NOTE ON THE STABILITY OF SWIRLING FLOWS WITH RADIUS-DEPENDENT DENSITY WITH RESPECT TO INFINITESIMAL AZIMUTHAL DISTURBANCES ⋮ Linearized oscillations of a vortex column: the singular eigenfunctions

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