Nov 12, 2020

Derivation of the kinetic wave equation

MATHPHYS ANALYSIS SEMINAR

Date: November 12, 2020 | 4:30 pm – 5:30 pm
Speaker: Pierre Germain, CIMS, New York University
Location: online via Zoom

It is conjectured by physicists that, in the proper scaling, turbulent behavior in nonlinear dispersive equations can be modeled by kinetic models, similar to Boltzmann's equation arising from Newtonian dynamics. I will present results obtained with Charles Collot, which prove this conjecture up to the kinetic time scale less an arbitrarily small power. The proof relies on the analysis of Feynman graphs in the framework of Bourgain spaces, together with estimates on the distribution of sums of eigenvalues of the underlying linear problem.

 

More Information:

Date:
November 12, 2020
4:30 pm – 5:30 pm

Speaker:
Pierre Germain, CIMS, New York University

Location:
online via Zoom

Contact:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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