The first talk of the applied math seminar series this Spring will be delivered on Mon, Jan 30 at 3:00pm by Prof. Alexander Korotkevich from our department. Title and abstract are provided below. Topic of the talk is closely related to the major research area of 2021 Nobel prize winner Klaus Hasselmann. Professor Korotkevich is on sabbatical thus the talk will be on zoom:

Zoom Meeting: https://unm.zoom.us/j/93108685209 

Password: contact the organizer

Title: Inverse cascade spectrum of gravity waves in the presence of condensate: numerical resultы 
and analytical explanation.
Abstract: Turbulence of gravity waves (waves with domination of gravity force, capillary effects are 
neglected) on the surface of sea or ocean is described by Hasselmann's waves kinetic equation. It is 
used for wave forecasting: prediction of evolution of waves distribution function dynamics over 
time. Some applications of it to practical problems will be discussed in introduction of the talk. 
Verification of Hasselmann's waves kinetic equation together with understanding of its range of 
applicability are important problems which motivate numerous numerical and laboratory experiments. 
In many of such experiments formation of strong long wave background is observed. Also, observed 
waves spectra in some cases are different from the ones predicted by the Waves Turbulence Theory 
based on Hasselmann's waves kinetic equation and introduced by V.E. Zakharov in late 60's. Results 
of massive numerical experiment (arXiv:2211.16567) are considered and explained analytically. We 
used scale separation technique together with diffusion approximation in the space of wave vectors 
to derive a new inverse cascade spectrum slope which is in good agreement with numerical results.