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Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on L p -spaces

Authors :
Amrouche, Chérif
Al Baba, Hind
Escobedo, Miguel
Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP)
Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA)
Departamento de Matematicas
Universidad del Pais Vasco / Euskal Herriko Unibertsitatea [Espagne] (UPV/EHU)
Source :
Communications in Contemporary Mathematics, Communications in Contemporary Mathematics, World Scientific Publishing, 2016
Publication Year :
2016
Publisher :
HAL CCSD, 2016.

Abstract

International audience; In this paper we study the analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on L p-spaces. This allows us to solve the evolution Stokes problems (1.1) together with the boundary condition (1.3).

Details

Language :
English
ISSN :
02191997
Database :
OpenAIRE
Journal :
Communications in Contemporary Mathematics, Communications in Contemporary Mathematics, World Scientific Publishing, 2016
Accession number :
edsair.dedup.wf.001..1cf450b933b1c7c8af2fd912fc31e124