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

Chérif Amrouche (1) , Hind Al Baba (1) , Miguel Escobedo (2)

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

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, Hind Al Baba, Miguel Escobedo. Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on L p -spaces. Communications in Contemporary Mathematics, 2016. ⟨hal-02476250⟩