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, November 18th at 15:30.
Abstract: Abstract: In the viscous range of turbulence, the evolution of advected magnetic field with finite initial distribution consists of two consecutive regimes: exponential growth is followed by exponential decay. This makes it possible to find a statistically stationary configuration. We consider forced small-scale magnetic field advected by an isotropic turbulent flow. The random driving force is assumed to be distributed in a finite region with a scale smaller than the viscous scale of the flow. The two-point correlator is shown to have a stationary limit for any reasonable velocity statistics. Its spatial dependence is found to be a power law. For non-Gaussian velocity gradient statistics, the mean-square magnetic field is also stationary.
Date |
Speaker | Title |
25.11.2020 |
V.Sirota | Stationary scaling in small-scale turbulent dynamo problem |
18.11.2020 | M.Onorato | Thermalization and anomalous correlators in the Fermi-Pasta-Ulam-Tsingou chain |
11.11.2020 | E.Kochurin | Numerical Simulation of Collinear Capillary-Wave Turbulence |
28.10.2020 | Y.Stepanyants | The asymptotic approach to the description of two-dimensional soliton patterns |
21.10.2020 | K.Zybin | No feedback is possible in small-scale turbulent magnetic field |
14.10.2020 | S.Vergeles | Steady axial magnetic field maintained in a columnar vortex in a rotating turbulent conducting fluid |
07.10.2020 | A.Slunyaev | Direct numerical simulation of 3D rogue waves |
30.09.2020 | A.Gelash | Solitonic model of the condensate |
23.09.2020 | R.Mullyadzhanov | Solitons in a box-shaped wavefield with noise: perturbation theory and statistics |
16.09.2020 | P.Lushnikov | Motion of singularities in fluid dynamics |
09.09.2020 | V.E.Zakharov | Are the equations of deep water with the free surface integrable? |
17.06.2020 | E.Pelinovsky | Bottom Pressure under Waves in Shallow Waters |
10.06.2020 | N.Ussembayev | On some new results in the Hamiltonian theory of weakly nonlinear surface waves |
03.06.2020 | V.Gordin | Wind in the boundary layer of the Earth’s atmosphere. Observations and a generalized Ekman-Akkerblom model. The complex coefficient of the turbulent exchange is more adequate |
27.05.2020 | D.Agafontsev | Adiabatically growing integrable turbulence |
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 |