Events for 08/31/2022 from all calendars
Promotion Talk by Minh Binh Tran
Time: 3:00PM - 4:00PM
Location: Bloc 302
Description: Title: On the wave turbulence theory for a stochastic KdV type equation
Abstract:
In this talk, I will discuss our recent joint works with Gigliola
Staffilani (MIT). In those papers, starting from the stochastic
Zakharov-Kuznetsov (ZK) equation, a multidimensional KdV type equation,
on a hypercubic lattice, we provide a rigorous derivation of both the
homogeneous and inhomogeneous 3-wave kinetic equation. We show that the
two point correlation function can be asymptotically expressed as the
solution of the 3-wave kinetic equation at the kinetic limit under very
general assumptions: the initial condition is out of equilibrium, the
dimension is d ≥ 2, the smallness of the nonlinearity λ is
allowed to be independent of the size of the lattice, the weak noise is
chosen not to compete with the weak nonlinearity and not to inject energy
into the equation. To the best of our knowledge, the work provides the
first rigorous derivation of nonlinear 3-wave kinetic equations, for both
homogeneous and inhomogeneous cases. Moreover, this is the first derivation
for wave kinetic equations in the lattice setting and out-of-equilibrium.
Promotion Talk by Sinjini Sengupta
Time: 4:00PM - 5:00PM
Location: Bloc 302
Description: Title: Enhancing Math Education using Technology