Lyapunov stability of relativistic fluids and plasmas

DOI10.1063/1.865952zbMath0618.76044OpenAlexW2049174893MaRDI QIDQ3755078

Boris A. Kupershmidt, Darryl D. Holm

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.865952

zbMATH Keywords

Lyapunov stabilityHamiltonian methodsCasimir functionalssecond variationsbounded domain equilibrium problemsenergy- Casimir methodsequilibrium flowsmacroscopic multifluid plasma modelsspecial relativistic fluid dynamic equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear effects in hydrodynamic stability (76E30) Stability for nonlinear problems in mechanics (70K20) Multiphase and multicomponent flows (76T99) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Stability theory for smooth dynamical systems (37C75) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (4)

Cylindrically invariant flows in relativistic fluid dynamics ⋮ Form-invariance upon relativisation of the Hamiltonian structures of fluids is not universal ⋮ Hamiltonian dynamics and stability analysis of neutral electromagnetic fluids with induction ⋮ Lyapunov stability conditions for relativistic multifluid plasma

Cites Work

• Stability of planar multifluid plasma equilibria by Arnol′d’s method
• Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure
• On an apriori estimate in the theory of hydrodynamical stability

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