Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid
type: Item
instance of: scholarly article
title: Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid
zbMATH Open document ID: 0900.76718
DOI: 10.1016/0167-2789(96)00104-2
author: Ivan Gjaja
author: D. D. Holm
published in: Physica D
publication date: 1996-11-28T00:00:00Z
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 951108
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: phase averages
zbMATH Keywords: Euler's equations
zbMATH Keywords: Hamilton's principle
zbMATH Keywords: Noether's theorem
zbMATH Keywords: potential vorticity
zbMATH Keywords: wave angular momentum
zbMATH Keywords: nonlinear stability analysis
zbMATH Keywords: liquid He\(^4\)
zbMATH Keywords: Charney-Drazin nonacceleration theorem
zbMATH Keywords: Whitham averaging
zbMATH Keywords: WKB stability theory
zbMATH Keywords: Lagrangian-mean fluid equations
MaRDI profile type: Publication
full work available at URL: 0167-2789(96)00104-2
OpenAlex ID: W2051291406
cites work: Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids
cites work: Nonlinear stability analysis of stratified fluid equilibria
cites work: An exact theory of nonlinear waves on a Lagrangian-mean flow
cites work: On wave-action and its relatives
cites work: Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
cites work: On an apriori estimate in the theory of hydrodynamical stability
cites work: Q5573210
cites work: Q5532416
cites work: Three-dimensional stability of elliptical vortex columns in external strain flows
cites work: On the mean motion induced by internal gravity waves
cites work: Q5635081
cites work: Wavetrains in Inhomogeneous Moving Media
cites work: Interaction between Hydromagnetic Waves and a Time-Dependent, Inhomogeneous Medium
cites work: Aspects of variational arguments in the theory of elasticity: fact and folklore
cites work: Q3863289
cites work: Nonlinear internal gravity waves in a rotating fluid
cites work: Mean flows induced by internal gravity wave packets propagating in a shear flow
cites work: Q3735263
cites work: The ideal Craik-Leibovich equations
cites work: Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
cites work: Q3724262
cites work: Nonlinear stability of fluid and plasma equilibria
cites work: On the instability of certain motions of an ideal incompressible fluid
cites work: Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
cites work: Semidirect Products and Reduction in Mechanics
cites work: 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
cites work: Q4273954
cites work: Q3199050
cites work: Q5849407
cites work: Averaging methods in nonlinear dynamical systems
cites work: A general approach to linear and non-linear dispersive waves using a Lagrangian
cites work: Two-timing, variational principles and waves
description: scientific article; zbMATH DE number 951108