Form-invariance upon relativisation of the Hamiltonian structures of fluids is not universal

DOI10.1016/0898-1221(91)90219-TzbMath0715.76003MaRDI QIDQ751915

Boris A. Kupershmidt

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian structures of fluids and plasmasnoncanonical Hamiltonian structurenonrelativistic one-dimensional gas dynamicsprinciple of form- invariance

Mathematics Subject Classification ID

Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Foundations of fluid mechanics (76A02) Classical field theories (70Sxx)

Cites Work

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• Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
• Odd and even Poisson brackets in dynamical systems
• Cylindrically invariant flows in relativistic fluid dynamics
• Equations of long waves with a free surface. II: Hamiltonian structure and higher equations
• Canonical formulation of relativistic hydrodynamics
• Nonlinear stability of fluid and plasma equilibria
• Hamiltonian theory of relativistic magnetohydrodynamics with anisotropic pressure
• Lyapunov stability of relativistic fluids and plasmas
• On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure