STRONG SOLUTIONS TO THE INCOMPRESSIBLE NAVIER STOKES EQUATIONS IN THE HALF SPACE

Niveau: Supérieur, Licence, Bac+3
STRONG SOLUTIONS TO THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF-SPACE Marco Cannone U.F.R. Mathematiques, Universite Paris 7, 75251 Paris Cedex 05, France, Fabrice Planchon Laboratoire d'Analyse Numerique, Universite Paris 6, 75252 Paris Cedex 05, France, Maria Schonbek 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, well- posedness is proved for initial data in L3(R3+).

• extended over


• studied via semi-group techniques


• ukai's


• space


• divergence-free vectors


• semi-group approach


• t?2 ?e


• taken over all


• space using