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Strong Solutions To The Incompressible Navier Stokes Equations In The Half Space |
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| Authors: | Marco Cannone Fabrice Planchon Maria Schonbek |
| Affiliation: | 1. U.F.R. Mathématiques , Université Paris 7 , Paris Cedex 05, France;2. Laboratoire d'Analyse Numérique , Université Paris 6 , Paris Cedex 05, 75252, France;3. Department of Mathematics , University of California at Santa Cruz , Santa Cruz, CA, 95064 1099, USA |
| Abstract: | We derive an exact formula for solutions to the Stokes equations in the half space with an external forcing term. This formula is used to establish local and global existence and uniqueness in a suitable Besov space for solutions to the Navier Stokes equations. In particular, wellposedness is proved for initial data in L3(R3 +). |
| Keywords: | Dumbbell model Navier–Stokes equation Fokker–Plank equation |