Air parcels and air particles: Hamiltonian dynamics

Onno Bokhove, Peter Lynch

    Research output: Contribution to journalArticleAcademic

    15 Downloads (Pure)

    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 languageUndefined
    Pages (from-to)100-106
    Number of pages7
    JournalNieuw archief voor wiskunde
    VolumeS 5, Dl 8
    Issue number2
    Publication statusPublished - Jun 2007

    Keywords

    • EWI-11959
    • IR-85524
    • METIS-247103

    Cite this

    Bokhove, O., & Lynch, P. (2007). Air parcels and air particles: Hamiltonian dynamics. Nieuw archief voor wiskunde, S 5, Dl 8(2), 100-106.
    Bokhove, Onno ; Lynch, Peter. / Air parcels and air particles: Hamiltonian dynamics. In: Nieuw archief voor wiskunde. 2007 ; Vol. S 5, Dl 8, No. 2. pp. 100-106.
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    author = "Onno Bokhove and Peter Lynch",
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    volume = "S 5, Dl 8",
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    Bokhove, O & Lynch, P 2007, 'Air parcels and air particles: Hamiltonian dynamics', Nieuw archief voor wiskunde, vol. S 5, Dl 8, no. 2, pp. 100-106.

    Air parcels and air particles: Hamiltonian dynamics. / Bokhove, Onno; Lynch, Peter.

    In: Nieuw archief voor wiskunde, Vol. S 5, Dl 8, No. 2, 06.2007, p. 100-106.

    Research output: Contribution to journalArticleAcademic

    TY - JOUR

    T1 - Air parcels and air particles: Hamiltonian dynamics

    AU - Bokhove, Onno

    AU - Lynch, Peter

    N1 - Given here is an enlarged version including a detailed appendix.

    PY - 2007/6

    Y1 - 2007/6

    N2 - 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.

    AB - 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.

    KW - EWI-11959

    KW - IR-85524

    KW - METIS-247103

    M3 - Article

    VL - S 5, Dl 8

    SP - 100

    EP - 106

    JO - Nieuw archief voor wiskunde

    JF - Nieuw archief voor wiskunde

    SN - 0028-9825

    IS - 2

    ER -

    Bokhove O, Lynch P. Air parcels and air particles: Hamiltonian dynamics. Nieuw archief voor wiskunde. 2007 Jun;S 5, Dl 8(2):100-106.