Poisson Structures for PDEs Associated with Diffeomorphism Groups
<p>We study Poisson and Lie-Poisson structures on the diffeomorphism groups with a smooth metric spray in connection with dynamics of nonlinear PDEs. In particular, we provide a precise analytic sense in which the time t map for the Euler equations of an ideal fluid in a region of Rⁿ (or on a...
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Format: | Others |
Language: | en |
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2004
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Online Access: | https://thesis.library.caltech.edu/1910/1/thesis.pdf Vasylkevych, Sergiy (2004) Poisson Structures for PDEs Associated with Diffeomorphism Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/472S-D335. https://resolver.caltech.edu/CaltechETD:etd-05212004-052003 <https://resolver.caltech.edu/CaltechETD:etd-05212004-052003> |
Internet
https://thesis.library.caltech.edu/1910/1/thesis.pdfVasylkevych, Sergiy (2004) Poisson Structures for PDEs Associated with Diffeomorphism Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/472S-D335. https://resolver.caltech.edu/CaltechETD:etd-05212004-052003 <https://resolver.caltech.edu/CaltechETD:etd-05212004-052003>