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Hamiltonian truncation of the shallow water equation (1994)

Zhong, Ge ; Scovel, Clint

Springer

Letters in mathematical physics 31 (1994), S. 1-13

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ISSN: 1573-0530

Keywords: 73D20 ; 35Q35 ; 76B15 ; 65P05 ; 53C80 ; 70H99

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract In this Letter, we describe a truncation of the Eulerian description of the shallow water equation of climate modeling to a finite-dimensional Hamiltonian system. The technique is to use an isomorphism from a semidirect product Poisson manifold to a direct product of Poisson manifolds, both of whose components are truncatable to finite-dimensional Poisson manifolds, based on Moser's theorem on volume elements.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00751167

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