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

Chérif Amrouche (1) , Chérif Al Baba , Miguel Amrouche

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

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).

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

Chérif Amrouche, Chérif Al Baba, Miguel Amrouche. Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on L p -spaces. Contemporary mathematics, 2016. ⟨hal-02523769⟩