Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness'

Pierre Dreyfuss (1)

1 IECN - Institut Élie Cartan de Nancy

We consider a circulation system arising in turbulence modelling in fluid dynamics with unbounded eddy viscosities. Various notions of weak solutions are considered and compared. We establish existence and regularity results. In particular we study the boundedness of weak solutions. We also establish an existence result for a classical solution

Domaines: Equations aux dérivées partielles [math.AP]

Pierre Dreyfuss. Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness'. Nonlinear Analysis: Theory, Methods and Applications, 2007, online publication: 10 January 2007. ⟨10.1016/j.na.2006.12.040⟩. ⟨hal-00142221⟩