Lectures on Topological Fluid Mechanics pp 139-155 | Cite as
The Group and Hamiltonian Descriptions of Hydrodynamical Systems
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Abstract
We survey applications of the Hamiltonian approach and group theory to ideal fluid dynamics and integrable systems. In particular, we review the derivations of the Landau-Lifschitz and Korteweg-de Vries equations as Euler equations on certain infinite-dimensional groups.
Keywords
Euler Equation Symplectic Structure Coadjoint Orbit Virasoro Algebra Hydrodynamical System
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