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Analysis on groups of diffeomorphisms of manifolds with boundary and the averaged motion of a fluid

Abstract:

We establish the existence of three new subgroups of the group of volume-preserving diffeomorphisms of a compact n-dimensional (n ≥ 2) Riemannian manifold which are associated with the Dirichlet, Neumann, and Mixed type boundary conditions that arise in second-order elliptic PDEs. We prove that when endowed with the Hs Hilbert-class topologies for s > (n/2) + 1, these subgroups are C∞ differential manifolds. We consider these new diffeomorphism groups with an H1-equivalent right invariant ...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Journal of Differential Geometry
Volume:
55
Issue:
1
Pages:
145-191
Publication date:
2000-05-01
ISSN:
0022-040X
Source identifiers:
404794
Language:
English
Pubs id:
pubs:404794
UUID:
uuid:b07b9546-c598-4c70-bc57-bb62f3a323d4
Local pid:
pubs:404794
Deposit date:
2013-11-16

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