Hamiltonian structure and Lyapunov stability of a hyperbolic system of two-phase flow equations including surface tension

DOI10.1063/1.865694zbMath0592.76144OpenAlexW2037949917MaRDI QIDQ3722150

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/10.1063/1.865694

zbMATH Keywords

sufficient conditionsequilibrium solutionscritical statesLyapunov stability conditionslocal descriptionconserved functionalsHamiltonian theory of continuum systemshyperbolic system of two-phase flow equationsideal barotropic two-phase flowLyapunov stability of the equilibrium solutionsseparated flows including surface tension

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Classical equilibrium statistical mechanics (general) (82B05) Hydrodynamic stability (76E99) Orbital mechanics (70M20)

Cites Work

• On an apriori estimate in the theory of hydrodynamical stability

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