Global solutions of the Navier-Stokes equation with strong viscosity
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 255-261 |
Journal / Publication | Annals of Global Analysis and Geometry |
Volume | 10 |
Issue number | 3 |
Publication status | Published - Jan 1992 |
Externally published | Yes |
Link(s)
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. © 1992 Kluwer Academic Publishers.
Research Area(s)
- diffeomorphism groups, geodesic flow, MSC 1991: 58D30, 35Q30, Navier-Stokes equation
Citation Format(s)
Global solutions of the Navier-Stokes equation with strong viscosity. / Carverhill, Andrew; Pedit, Franz J.
In: Annals of Global Analysis and Geometry, Vol. 10, No. 3, 01.1992, p. 255-261.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review