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New minimal geodesics in the group of symplectic diffeomorphisms

✍ Scribed by Karl Friedrich Siburg


Publisher
Springer
Year
1995
Tongue
English
Weight
391 KB
Volume
3
Category
Article
ISSN
0944-2669

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Minimal geodesics on groups of volume-pr
✍ Yann Brenier πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 454 KB πŸ‘ 2 views

The three-dimensional motion of an incompressible inviscid fluid is classically described by the Euler equations but can also be seen, following Arnold [1], as a geodesic on a group of volume-preserving maps. Local existence and uniqueness of minimal geodesics have been established by Ebin and Marsd