Hamiltonian Fluid Mechanics

1988/01/01 by Rick Salmon · 12 citations
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Classical mechanics #Computational Physics and Python Applications #Computer science #Fluid mechanics #Geophysical and Geoelectrical Methods #Mechanics #Physics #Scientific Research and Discoveries #Statistical physics

paper · doi:10.1146/annurev.fl.20.010188.001301

openalex publication_date 1988/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

The field of fluid mechanics is rapidly advancing, driven by unprecedented volumes of data from experiments, field measurements, and large-scale simulations at multiple spatiotemporal scales. Machine learning (ML) offers a wealth of techniques to extract ...Read More

Citations

• The Classical Field Theories
• AN ACTION PRINCIPLE FOR MAGNETOHYDRODYNAMICS
• The derivation of the equations of motion of an ideal fluid by Hamilton's principle

Cited by

• Helicity in superfluids: Existence and the classical limit
• Beyond chaos: fluctuations, anomalies and spontaneous stochasticity in fluid turbulence
• Hamiltonian description of the ideal fluid
• Compressible dynamics of magnetic field lines for incompressible magnetohydrodynamic flows
• An affine model of the dynamics of astrophysical discs
• Finite time singularities in a class of hydrodynamic models
• Cauchy’s almost forgotten Lagrangian formulation of the Euler equation for 3D incompressible flow
• Errors, Correlations and Fidelity for noisy Hamilton flows. Theory and\n numerical examples
• Galilei group with multiple central extension, vorticity, and entropy generation: Exotic fluid in 3+1 dimensions
• Poisson structure of the three-dimensional Euler equations in Fourier space
• Symmetries, Conservation Laws, and Hamiltonian Structure in Geophysical Fluid Dynamics
• Hamiltonian fluid mechanics [wikipedia]