Nonlinear wave phenomena: the ubiquitous dispersive equations
Prof. Gigliola Staffilani (MIT)
Saturday, 7 February 2015, 3:30 PM
MIT, E25-117
In this talk I will introduce the notion of dispersion and I will recall some (among many) of the physical phenomena in which dispersion is present from a PDE point of view. As an example I will consider the Schrodinger equation and for it I will introduce Strichartz estimates. I will also show how in the periodic case one can think of dispersive PDE as an infinite dimension Hamiltonian systems. I will talk about weak turbulence, Gibbs measures and random initial data with the goal of showing how many different areas of mathematics are connected through the study of these systems.