Divergence

Raphaël Danchin (1) , Piotr Bogusław Mucha (2)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 Instytut Matematyki Stosowanej i Mechaniki

This note is dedicated to a few questions related to the divergence equation which have been motivated by recent studies concerning the Neumann problem for the Laplace equation or the (evolutionary) Stokes system in domains. For simplicity, we focus on the classical Sobolev spaces framework in bounded domains, but our results have natural and simple extensions to the Besov spaces framework in more general domains.

Domaines: Equations aux dérivées partielles [math.AP]

Raphaël Danchin, Piotr Bogusław Mucha. Divergence. Discrete and Continuous Dynamical Systems - Series S, 2013, 6 (5), 11 p. ⟨hal-00795406⟩