CRM: Centro De Giorgi
logo sns
“LEANING TORI” An Hamiltonian Event under the Tower

On the kinetic description of the long-time behavior of dispersive PDE

speaker: Zaher Hani (University of Michigan)

abstract: Wave turbulence theory claims that at very long timescales, and in appropriate limiting regimes, the effective behavior of a nonlinear dispersive PDE on a large domain can be described by a kinetic equation called the "wave kinetic equation". This is the wave-analog of Boltzmann's equation for particle collisions. We shall consider the nonlinear Schrodinger equation on a large box with periodic boundary conditions, and explore some of its effective long-time behaviors at time scales that are shorter than the conjectured kinetic time scale, but still long enough to exhibit the onset of the kinetic behavior. (This is joint work with Tristan Buckmaster, Pierre Germain, and Jalal Shatah).

Wed 22 May, 9:00 - 9:50, Aula Dini
<< Go back