Seminar “Nonlinear waves”

The next session of academician V.E.Zakharov seminar “Nonlinear waves” will be translated at https://bbb2.itp.ac.ru/b/ale-wkj-mvm on Wednesday, May 27th at 14:30.
“Adiabatically growing integrable turbulence”
                    
            D.S. Agafontsev (1,2), V.E. Zakharov (2,3).1 – Shirshov Institute of Oceanology of RAS, 117997 Moscow, Russia.
2 – Skolkovo Institute of Science and Technology, 121205 Moscow, Russia.
3 – Department of Mathematics, University of Arizona, 857201 Tucson, AZ, USA.

We study numerically the integrable turbulence in the framework of the focusing one-dimensional nonlinear Schrodinger equation using a new method – the “growing of turbulence”. We add to the equation a weak controlled pumping term and start adiabatic evolution of turbulence from statistically homogeneous Gaussian noise. After reaching a certain level of average intensity, we switch off the pumping and realize that the “grown up” turbulence is statistically stationary. We measure its Fourier spectrum, the probability density function (PDF) of intensity and the autocorrelation of intensity. Additionally, we show that, being adiabatic, our method produces stationary states of the integrable turbulence for the intermediate moments of pumping as well.

Questions to Andrei Pushkarev, , +7(909)949-96-13
 
E.A.Kuznetsov, A.N. Pushkarev
Organizers
Date Speaker Title
20.05.2020 A.Minakov Long-time asymptotics for the modified Korteweg-de Vries equation with step-like initial data
13.05.2020 S. Badulin Theory of wave turbulence for satellite altimetry: wave dynamics and climatology remote sensing of sea state
29.04.2020 V. Geogjaev Quadruplet form of Hasselmann equation
22.04.2020  A. Pushkarev Nonlinear Wind Waves Generation in Straits: Laser-Like and Self-Similar Regimes
15.04.2020 D. Kachulin Soliton turbulence in approximate and exact models for deep water waves
08.04.2020 E. Kuznetsov Compressible structures in two-dimensional hydrodynamic systems
01.04.2020 A. Dyachenko Multiple Soliton Interactions on the Surface of Deep Water
25.03.2020 I. Sibgatullin Linear and nonlinear wave attractors in stratified or rotating fluids
18.03.2020 E. Mikhailov Propagation of nonlinear waves in problems of magnetic field generation in the dynamo theory
11.03.2020 A. Gelash Synchronized breather interactions
04.03.2020 E. Prosviryakov Exact solutions of the Navier-Stokes equations for describing large-scale flows of the oceans and amplification of Stokes waves in a liquid
19.02.2020 V. Zakharov Chain solitons in KP-1 equation