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- W1977101064 abstract "Abstract Bifurcation of equilibrium points in fluids or plasmas is studied using the notion of Casimir foliation that occurs in the noncanon- ical Hamiltonian formalism of the ideal dynamics. The nonlinearity of the system makes the Poisson operator inhomogeneous on phase space (the function space of the state variable), and creates a singularity where the nullity of the Poisson operator changes. The problem is an infinite-dimensional generalization of the theory of singular differential equations. Singular Casimir elements stemming from this singularity are unearthed using a generalization of the functional derivative that occurs in the Poisson bracket." @default.
- W1977101064 created "2016-06-24" @default.
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- W1977101064 date "2013-01-01" @default.
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- W1977101064 title "Singular Casimir Elements: Their Mathematical Justification and Physical Implications" @default.
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- W1977101064 doi "https://doi.org/10.1016/j.piutam.2013.03.017" @default.
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