Nonlinear stability of a rotating planar liquid drop

DOI10.1007/BF00281351zbMath0697.76067OpenAlexW2019538066MaRDI QIDQ911920

Debra Lewis

Publication date: 1989

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281351

zbMATH Keywords

Hamiltonian systemsPoisson bracketHamiltonian function``Energy-Casimir methodIncompressible, inviscid, free boundary fluid flowsirrotational free boundary flowminimum of the functionalTaylor series analysis

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

A model for nonlinear axisymmetric droplet vibrations, Dissipation induced instabilities, Hydrodynamics and stability of a deformable body moving in the proximity of interfaces, An overlooked figure of equilibrium of a rotating ellipsoidal self-gravitating fluid and the Riemann theorem, Stability of relative equilibria. I: The reduced energy-momentum method, Stability of relative equilibria. II: Application to nonlinear elasticity, Hamiltonian structure for rigid body with flexible attachments in a circular orbit, Hamiltonian systems near relative equilibria

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