29/05/2012 - 15:00 Mr Michael Renardy (Virginia Tech) Salle 1 - Tour IRMA
The talk will review some recent results on the well-posedness of hydrostatic Euler equations. In particular, the role of boundary conditions (walls or free surface) will be emphasized. The results show that well-posedness of these equations is not a local property, for instance, it turns out that flows with one free surface are well-posed while flows with two free surfaces are ill-posed. It is also shown that magnetic fields or fluid elasticity can restore the well-posedness of the equations. I shall also discuss the implications for boundary layers in high Weissenberg number viscoelastic flows.