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The time-dependent Stokes problem with Navier slip boundary conditions on Lp-spaces

  • Hind Al Baba , Chérif Amrouche EMAIL logo and Ahmed Rejaiba
Published/Copyright: March 1, 2016

Abstract

This paper deals with the time-dependent Stokes problem with Navier boundary conditions on Lp-spaces. We prove the analyticity of the Stokes semigroup with Navier boundary conditions on some spaces to be determined. This analyticity allows us to solve the evolutionary Stokes problem and to obtain weak, strong and very weak solutions.

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Received: 2015-9-1
Revised: 2016-1-22
Accepted: 2016-2-23
Published Online: 2016-3-1
Published in Print: 2016-11-1

© 2016 by De Gruyter

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