Wave energy-momentum and pseudoenergy-momentum conservation for the layered quasi-geostrophic instability problem
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Publication:3991487
DOI10.1017/S0022112092001150zbMath0744.76055MaRDI QIDQ3991487
Publication date: 28 June 1992
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
stratificationHamiltonian systempotential vorticityArnol'd stability conditionsequivalent barotropic modelKelvin circulationsPhillips' problem
Nonlinear effects in hydrodynamic stability (76E30) Stability theory for smooth dynamical systems (37C75) Stability and instability of geophysical and astrophysical flows (76E20)
Related Items
Nonlinear stability of multilayer quasi-geostrophic flow, On the existence of Arnold-stable barotropic flows on a rotating sphere, Zonal shear flows with a free surface: Hamiltonian formulation and linear and nonlinear stability
Cites Work
- Nonlinear stability of fluid and plasma equilibria
- Hamiltonian formulation of the baroclinic quasigeostrophic fluid equations
- A nonlinear stability theorem for baroclinic quasigeostrophic flow
- 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
- On the theory of nonlinear wave-wave interactions among geophysical waves
