Air parcels and air particles: Hamiltonian dynamics

Onno Bokhove, Peter Lynch

    Research output: Contribution to journalArticleAcademic

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    Abstract

    We present a simple Hamiltonian formulation of the Euler equations for fluid flow in the Lagrangian framework. In contrast to the conventional formulation, which involves coupled partial differential equations, our "innovative'' mathematical formulation involves only ordinary differential equations coupled by integral equations. We illustrate the utility of the new formulation by applying it to a simple stability problem for the atmosphere.
    Original languageEnglish
    Pages (from-to)100-106
    Number of pages7
    JournalNieuw archief voor wiskunde
    VolumeS5, Deel 08
    Issue number2
    Publication statusPublished - Jun 2007

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