15:30 Edriss Titi (University of Cambridge) 
Résumé
Recent Advances Concerning the Navier-Stokes and Euler Equations
Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13In this talk we will discuss some recent progress concerning the Navier-Stokes and Euler equations
of incompressible fluid. In particular, issues concerning the lack of uniqueness using the convex
integration machinery and their physical relevance. Moreover, we will show the universality of
the critical 1/3 Hölder exponent, conjectured by Onsager for the preservation of energy in Euler
equations, by extending the Onsager conjecture for the preservation of generalized entropy in general conservation laws. In addition, we will present a blow-up criterion for the 3D Euler equations based on a class of inviscid regularization for these equations and the effect of physical boundaries on the potential formation of singularity.
