Electronic Resource
Springer
Annals of global analysis and geometry
10 (1992), S. 255-261
ISSN:
1572-9060
Keywords:
Navier-Stokes equation
;
diffeomorphism groups
;
geodesic flow
;
58D30
;
35Q30
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Following Ebin and Marsden the Navier-Stokes equation is viewed as a perturbation of a geodesic flow on the group of volume preserving diffeomorphisms on a compact Riemannian manifold. Existence and uniqueness of bounded solutions for all position time is shown by taking a higher order diffusion term.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00136868
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