Yannick Sire

A great amount of work has been dedicated in the last years to understand problems with integral diffusion for elliptic, parabolic or hyperbolic equations and systems. In this talk, I will describe a new Yamabe problem based on conformally covariant...

I will describe in this talk some mathematical problems related to anomalous diffusion. Such a diffusion is driven by Levy processes, i.e. stochastic processes with jumps. At the PDE level, it gives a fractional laplacian, in the simplest case. Such...

We develop a KAM theory for tori with hyperbolic directions for PDEs coming mainly from fluid dynamics. One of the features of these PDEs is that they are strongly ill-posed. However, our method allows to construct specific quasi-periodic solutions...