In this talk, we will discuss some recent results on the effective dynamical properties for interacting fermionic systems in a magnetic field, in the mean-field regime. This is a joint work with Niels Benedikter (Milan), Chiara Boccato (Pise) and Domenico Monaco (Rome).
In this talk, I'll discuss recent and not-so-recent works involving acceleration phenomena in reaction diffusion and related models. This is from joint works with Coville, Legendre and Zhang.
The quantum Navier-Stokes model correspond to the classical Navier-Stokes model in which a quantum correction term called Bohm potential is added. It can also be seen as a particular case of the well-known Navier-Stokes Korteweg models. In this talk I will first present some results about the existence of weak solutions which is obtained using renormalized solutions. The results allow us to...
We present a new way of constructing finite volume schemes for heterogeneous scalar conservation laws. The main idea is to use the theory of discontinuous flux, which recents developments are discussed in the first part of the presentation. Then, the construction of the scheme and the convergence result are presented.
