On the existence of two-dimensional Euler flows satisfying energy-Casimir stability criteria

DOI10.1063/1.870280zbMath1149.76587OpenAlexW2143919493MaRDI QIDQ3544104

Theodore G. Shepherd, Djoko Wirosoetisno

Publication date: 5 December 2008

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

Full work available at URL: https://semanticscholar.org/paper/7babef2863df721b1641181480787a5d8eb9b094

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (4)

Energy extremals and nonlinear stability in a variational theory of a coupled barotropic flow - Rotating solid sphere system ⋮ On the existence of Arnold-stable barotropic flows on a rotating sphere ⋮ Flexibility and rigidity in steady fluid motion ⋮ Formal stability in Hamiltonian fluid models for plasmas

Cites Work

• On nonlinear stability of stationary Euler flows on a rotating sphere
• Nonlinear stability for saddle solutions of ideal flows and symmetry breaking
• 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
• A row of counter-rotating vortices
• Stability of periodic arrays of vortices
• Nonlinear stability of counter-rotating vortices
• On an apriori estimate in the theory of hydrodynamical stability

This page was built for publication: On the existence of two-dimensional Euler flows satisfying energy-Casimir stability criteria