# «Mathematical modeling of geophysical processes: direct and inverse problems»

The seminar is devoted to the consideration of various aspects of mathematical modeling of physical processes in the atmosphere, hydrosphere and active layer of land, associated with solving problems arising in the study of the problems of climate change and the natural environment.

Seminar Organizing Committee

 Leaders: Corr. RAS V.N.Lykosov (Marchuk Institute of Numerical Mathematics of RAS, RCC MSU) Doctor of Physics and Mathematics V.M. Stepanenko (RCC MSU, Geographical Faculty of Moscow State University) Secretary: A.V.Debolsky (RCC MSU, A.M. Obukhov Institute of Atmospheric Physics of RAS).
##### 17:15
 V.V. Geogadzhiev Shirshov Institute of Oceanology, RAS

### ON THE EVOLUTION OF WAVE SPECTRA ON WATER

Wave on the water is a spectrum of waves of different frequencies interacting with each other due to the nonlinearity of the equations of motion. The development of excitement is determined by this interaction. The interaction between waves can be described by a kinetic equation (Hasselmann's equation).

The interaction between waves is resonant. For waves to exchange energy, they must be in resonance in time and space. Such a resonance is possible only for four waves (quadruplets). The space of such quadruplets can be viewed as a manifold over which integration can be performed to obtain full interaction. When, the contribution made by different areas is significantly different.

The integral over quadruplets can be taken numerically. In this case, the space of quadruplets is three-dimensional, and the wave spectrum has two more dimensions. Thus, we are talking about a five-dimensional integral. However, it is possible to construct a grid of quadruplets that gives acceptable results with not too many points.

The seminar will be held in the form of a webinar on the Zoom platform.

Link to Zoom conference (May 27 from 17:15):

Topic: seminar "Mathematical modeling of geophysical processes: direct and inverse problems".

Time: May 27, 2021 05:15 PM Moscow

Meeting ID: 837 4393 6156

Passcode: 724754