Hamiltonian dynamics and stability analysis of neutral electromagnetic fluids with induction

DOI10.1016/0167-2789(87)90104-7zbMath0617.76051OpenAlexW2138850411MaRDI QIDQ1822579

Darryl D. Holm

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90104-7

zbMATH Keywords

magnetic fieldequilibrium solutionsstability propertiesLie-Poisson Hamiltonian structurerelativistic electromagneticrelativistic MHD fluidsrelativistic neutral electromagnetic fluid

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Gravitational energy and conservation laws; groups of motions (83C40) Special relativity (83A05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Hamiltonian and Lagrangian mechanics (70H99)

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Cites Work

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• Hamiltonian structures and stability for rigid bodies with flexible attachments
• Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
• Nonlinear stability of fluid and plasma equilibria
• Fluids and Plasmas: Geometry and Dynamics
• Stability of Poisson-Hamilton equilibria
• Lyapunov stability of relativistic fluids and plasmas
• Nonlinear stability analysis of stratified fluid equilibria
• Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids
• AN ACTION PRINCIPLE FOR MAGNETOHYDRODYNAMICS
• On an apriori estimate in the theory of hydrodynamical stability
• Lagrangian Density for Perfect Fluids in General Relativity
• Diffraction Theory of Electromagnetic Waves

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