L^p solutions of the steady-state Navier-Stokes equations with rough external forces

Clayton Bjorland (1) , Lorenzo Brandolese (2) , Dragos Iftimie (2) , Maria Elena Schonbek (3)

1 Departement of Mathematics [Austin]
2 ICJ - Institut Camille Jordan
3 Department of Mathematics, University of California Santa Cruz

In this paper we address the existence, the asymptotic behavior and stability in $L^p$ and $L^{p,\infty}$, $\frac{3}{2}

Mots clés: stationary flows; Lorentz spaces; stability; Navier-Stokes

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

Clayton Bjorland, Lorenzo Brandolese, Dragos Iftimie, Maria Elena Schonbek. L^p solutions of the steady-state Navier-Stokes equations with rough external forces. Communications in Partial Differential Equations, 2011, 36, pp.216--246. ⟨hal-00378603v2⟩