Lp-theory for Stokes and Navier-Stokes equations with Navier boundary condition

Chérif Amrouche (1) , A. Rejaiba (1)

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

This work was intended as an attempt at studying stationary Stokes and Navier-Stokes problem with Navier boundary conditions (1.3). We wish to investigate some results of existence, uniqueness and regularity of solutions in Hilbert case and in Lp-theory. © 2013 Elsevier Inc.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Chérif Amrouche, A. Rejaiba. Lp-theory for Stokes and Navier-Stokes equations with Navier boundary condition. Journal of Differential Equations, 2014, 256 (4), pp.1515-1547. ⟨10.1016/j.jde.2013.11.005⟩. ⟨hal-00985041⟩