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Titlebook: Geometry, Mechanics, and Dynamics; The Legacy of Jerry Dong Eui Chang,Darryl D. Holm,Tudor Ratiu Book 2015 Springer Science+Business Media

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On the Completeness of Trajectories for Some Mechanical Systems,aces, the latter including links with some relativistic spacetimes. Special emphasis is taken in the cleaning up of known techniques, the statement of open questions and the exploration of prospective frameworks.
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Geometry, Mechanics, and Dynamics978-1-4939-2441-7Series ISSN 1069-5265 Series E-ISSN 2194-1564
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Alan H. Lee MD,Marc R. Safran MDFollowing Ebin and Marsden (Ann Math 92(1):102–163, 1970) we provide a concise proof of the well-posedness of the equations of perfect fluid motion. We use a construction which casts the equations as an ordinary differential equation on a non-linear function space.
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Geometry of Image Registration: The Diffeomorphism Group and Momentum Maps,These lecture notes explain the geometry and discuss some of the analytical questions underlying image registration within the framework of . (LDDMM) used in computational anatomy.
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