Formal stability of circular vortices
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Publication:4020296
DOI10.1017/S0022112092002362zbMath0755.76045OpenAlexW2132682578MaRDI QIDQ4020296
George F. Carnevale, R. C. Kloosterziel
Publication date: 16 January 1993
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112092002362
second variationLagrangian displacementsisolated vortexArnol'd's Eulerian formalismlinear combination of energy and angular momentum
Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30) Hydrodynamic stability (76E99)
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- Nonlinear stability of fluid and plasma equilibria
- Non-ergodicity of inviscid two-dimensional flow on a beta-plane and on the surface of a rotating sphere
- Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows
- An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theorems
- Nonlinear stability and statistical mechanics of flow over topography
- On the instability of geostrophic vortices
- On the inviscid instability of certain two-dimensional vortex-type flows
