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Global solutions of the Navier-Stokes equation with strong viscosity (1992)

Carverhill, Andrew ; Pedit, Franz J.

Springer

Annals of global analysis and geometry 10 (1992), S. 255-261

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ISSN: 1572-9060

Schlagwort(e): Navier-Stokes equation ; diffeomorphism groups ; geodesic flow ; 58D30 ; 35Q30

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00136868

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