Hamiltonian formulation of adiabatic free boundary Euler flows

DOI10.1016/0393-0440(89)90017-XzbMath0693.76002OpenAlexW2059620469MaRDI QIDQ908750

Tudor S. Ratiu, Arthur A. Mazer

Publication date: 1989

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(89)90017-x

zbMATH Keywords

potential vorticityHamiltonian formulationadiabatic free boundary inviscid fluid flowcanonical bracket in Lagrangian representationnoncanonical Poisson bracket in Eulerian representation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Foundations of fluid mechanics (76A02) Classical field theories (70Sxx)

Related Items (7)

General relativistic Lagrangian continuum theories. I: Reduced variational principles and junction conditions for hydrodynamics and elasticity ⋮ Port-Hamiltonian formulations of the incompressible Euler equations with a free surface ⋮ Nonlinear stability of a rotating planar liquid drop ⋮ A variational principle for three-dimensional interactions between water waves and a floating rigid body with interior fluid motion ⋮ Lie–Poisson structure for the homogeneous motion of self-gravitating compressible fluids ⋮ A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion ⋮ Reduced variational formulations in free boundary continuum mechanics

Cites Work

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• Hamiltonian formulation of inviscid flows with free boundaries
• Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids
• On the hamiltonian theory of surface waves
• On Hamilton's principle for surface waves
• A note regarding ‘On Hamilton's principle for surface waves’

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