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  • 1
    Electronic Resource
    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
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