Very weak solutions for the Stokes problem in an exterior domain

Chérif Amrouche (1) , M. Meslameni

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

In this paper, we study the Stokes problem in exterior domain of ℝ3. We are interested in the existence and the uniqueness of very weak solutions. Here, we extend a result proved by Farwig et al. (J Math Soc Japan 59(1):127-150, 2007) and we prove the existence and the uniqueness of a second type of very weak solution. © 2012 Università degli Studi di Ferrara.

Domaines: Equations aux dérivées partielles [math.AP]

Chérif Amrouche, M. Meslameni. Very weak solutions for the Stokes problem in an exterior domain. Annali dell'Universita di Ferrara, 2013, 59 (1), pp.3-29. ⟨10.1007/s11565-012-0166-4⟩. ⟨hal-00866950⟩