Stability of some turbulent vertical models for the ocean mixing boundary layer

Anne-Claire Bennis (1) , Tomas Chacon-Rebollo (2) , Macarena Gomez Marmol (2) , Roger Lewandowski (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Universidad de Sevilla = University of Seville

We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions.

Mots clés: oceanography; turbulence models; stability : partial differential equations

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Equations aux dérivées partielles [math.AP]

Anne-Claire Bennis, Tomas Chacon-Rebollo, Macarena Gomez Marmol, Roger Lewandowski. Stability of some turbulent vertical models for the ocean mixing boundary layer. Applied Mathematics Letters, 2008, 21 (2), pp.128-133. ⟨hal-00121202v3⟩