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 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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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

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