A fundamental question in the theory of statistical mechanics of nonlinear waves (often called "wave turbulence theory"), is the rigorous justification of the so-called Wave Kinetic Equation (WKE) starting from Hamiltonian first principles (usually given by a nonlinear dispersive or hyperbolic PDE). This is a monumental mathematical problem featuring aspects from PDE analysis, probability, combinatorics, and even analytic number theory. We will discuss some recent advances on this problem, focusing on a recent joint work with Yu Deng (USC).

Speaker(s): Zaher Hani (University of Michigan)

Speaker(s): Zaher Hani (University of Michigan)

Building: | East Hall |
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Event Type: | Workshop / Seminar |

Tags: | Mathematics |

Source: | Happening @ Michigan from Department of Mathematics |