On the two and three dimensional Oseen potentials

Chérif Amrouche (1) , Hamid Bouzit (1, 2) , Ulrich Razafison (3)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 Département de Mathématiques, Université de Mostaganem
3 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

We prove continuity properties for the Oseen potential. As a consequence, we show some new properties on solutions of the Oseen equations. The study relies on weighted Sobolev spaces in order to control the behavior of functions at infinity

Mots clés: Riesz potentials; Oseen potentials; Poisson's equations; Weighted spaces

Domaines: Equations aux dérivées partielles [math.AP]

Chérif Amrouche, Hamid Bouzit, Ulrich Razafison. On the two and three dimensional Oseen potentials. 2010. ⟨hal-00549142⟩