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On Seliger and Whitham's variational principle for hydrodynamic systems from the point of view of `fictitious particles'

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Publication:540757
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DOI10.1007/s00707-010-0442-2zbMath1381.37102OpenAlexW2115010220MaRDI QIDQ540757

Leonardo Casetta, Celso Pupo Pesce

Publication date: 3 June 2011

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-010-0442-2


Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10)


Related Items

Geometric theory on the dynamics of a position-dependent mass particle, The pressure boundary condition and the pressure as Lagrangian for water waves, Lagrange's equations for open systems, derived via the method of fictitious particles, and written in the Lagrange description of continuum mechanics



Cites Work

  • The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
  • The equations of Lagrange written for a non-material volume
  • Hamilton's principle for systems of changing mass
  • Hamiltonian formulations for surface waves
  • A variational principle for a fluid with a free surface
  • Variational principles in continuum mechanics
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