Speaker
Guillaume Carlier
Description
It is by now well-known that the quantum drift diffusion equation which is a highly nonlinear fourth-order evolution equation is the Wasserstein gradient flow of the Fisher information. It is therefore natural to investigate whether JKO steps are tractable both from an analytical and computational viewpoint. In this talk, based on a joint work with Daniel Matthes and Jean-David Benamou, I will discuss some aspects of this problem.
