hal-00535671, version 1
Navier-Stokes equations in arbitrary domains: the Fujita-Kato scheme
Mathematical Research Letters 13, 3 (2006) 455-461
Résumé : Navier-Stokes equations are investigated in a functional setting in 3D open sets, bounded or not, without assuming any regularity of the boundary. The main idea is to find a correct definition of the Stokes operator in a suitable Hilbert space of divergence-free vectors and apply the Fujita-Kato method, a fixed point procedure, to get a local strong solution.
- 1 :
- CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III
- Domaine : Mathématiques/Equations aux dérivées partielles
- Mots-clés : Navier-Stokes system – Fujita-Kato scheme
- hal-00535671, version 1
- http://hal.archives-ouvertes.fr/hal-00535671
- oai:hal.archives-ouvertes.fr:hal-00535671
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- Soumis le : Vendredi 12 Novembre 2010, 12:09:46
- Dernière modification le : Dimanche 14 Novembre 2010, 21:35:09
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