Tuesday, June 4, 2024 - 12:00 in ZiF
Invariant measures for mKdV and KdV on the line
A talk in the Harmonic and Stochastic Analysis of Dispersive PDEs series by
Justin Forlano from University of Edinburgh
| Abstract: |
I will discuss a recent result on the invariance of the Gibbs measure on the line for the real-valued
defocusing modified Korteweg de-Vries equation (mKdV). Along the way, we give a new proof
of the invariance of the Gibbs measure for the periodic mKdV. Finally, by applying the Miura
transform, we discover a new invariant probability measure for KdV on the line, with the same
local regularity as the white noise but which is non-Gaussian. This talk is based on joint work
with R. Killip and M. Visan (UCLA).
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