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001049630 1001_ $$0P:(DE-Juel1)192332$$aShepherd, Theodore$$b0$$eCorresponding author$$ufzj
001049630 245__ $$aHamiltonian dynamics
001049630 250__ $$a3rd ed.
001049630 260__ $$aLondon$$bAcademic Press$$c2025
001049630 29510 $$aEncyclopedia of Atmospheric Sciences, Third Edition, Volume 4
001049630 300__ $$a84-94
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001049630 520__ $$aHamiltonian dynamics describes the evolution of conservative physical systems. Originally developed as a generalization of Newtonian mechanics, it represents a core component of any undergraduate physics curriculum. What is not so widely recognized is that the ideal (i.e. conservative) form of the governing equations used in dynamical meteorology are also Hamiltonian dynamical systems. This chapter explains how this is so, and some of the consequences that follow from this fact. It is important to be able to connect theoretical results across the hierarchy of various models used in dynamical meteorology, from the simplest to the most complex. Hamiltonian dynamics is what allows one to do precisely that.
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