Note on the nonlinear stability of stratified fluid equilibria

DOI10.1016/S0167-2789(98)00004-9zbMath0960.76035OpenAlexW2019469846MaRDI QIDQ1967168

Yanyan Li

Publication date: 10 May 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00004-9

zbMATH Keywords

nonlinear stabilitya priori estimateideal incompressible stratified fluiddecomposition of density perturbationfinite-amplitude perturbationhydrostatic equilibriasufficient condition for stability of general equilibrium state of doubly stratified fluid

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stratification effects in inviscid fluids (76B70)

Cites Work

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• Analogues of the Lagrange theorem in the hydrodynamics of whirling and stratified liquids
• Nonlinear stability of fluid and plasma equilibria
• Nonlinear stability analysis of stratified fluid equilibria
• Rigorous bounds on the nonlinear saturation of instabilities to parallel shear flows
• On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows
• Extension of Convex Function
• On an apriori estimate in the theory of hydrodynamical stability

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