Air parcels and air particles: Hamiltonian dynamics

Onno Bokhove; Peter Lynch

Air parcels and air particles: Hamiltonian dynamics

Onno Bokhove, Peter Lynch

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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 language	English
Place of Publication	Enschede
Publisher	University of Twente, Department of Applied Mathematics
Number of pages	11
Publication status	Published - Apr 2007

Publication series

Name	Memorandum
Publisher	University of Twente, Department of Applied Mathematics
No.	2/1834
ISSN (Print)	1874-4850
ISSN (Electronic)	1874-4850

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Bokhove, O., & Lynch, P. (2007). Air parcels and air particles: Hamiltonian dynamics. (Memorandum; No. 2/1834). Enschede: University of Twente, Department of Applied Mathematics.

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