Exact description of the spectrum of elliptical vortices in hydrodynamics and magnetohydrodynamics

DOI10.1063/1.868481zbMath1023.76510OpenAlexW2011619946MaRDI QIDQ4423924

Alexander Lipton-Lifschitz

Publication date: 18 November 2003

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868481

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (2)

The essential spectrum of advective equations ⋮ On the spectrum of hyperbolic flows

Cites Work

• On stability for symmetric hyperbolic systems. I
• On Hydromagnetic Stability of Stationary Equilibria
• On the three-dimensional instability of strained vortices
• Kinematic dynamo problem in a linear velocity field
• Evolution of wavelike disturbances in shear flows : a class of exact solutions of the Navier-Stokes equations
• Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows
• The stability equations for rotating, inviscid fluids: Galerkin methods and orthogonal bases
• Local stability conditions in fluid dynamics
• Instability of bounded flows with elliptical streamlines
• Stability theory of an elliptical vortex
• Eigenvalue problem for Lagrangian systems. VIII. Eigenvalue bounds with application to fluid and plasma flows
• The Hydromagnetic Equations

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