Global solutions of the Navier-Stokes equation with strong viscosity |
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| Authors: | Andrew Carverhill Franz J Pedit |
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| Institution: | (1) Mathematics Institute, Warwick University, CV 47 AL Coventry, England;(2) Department of Mathematics and Computer Science, Emory University, 30322 Atlanta, GA, USA |
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| 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.Partial y supported by Alexander von Humboldt Foundation |
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| Keywords: | Navier-Stokes equation diffeomorphism groups geodesic flow |
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