Dear Colleagues,
The next ZOOM session of academician V.E. Zakharov seminar “Nonlinear Waves” will be held on Wednesday, May 25th, at 15:30 Moscow time.
https://us02web.zoom.us/j/86548065263?pwd=eURsUCs0ZVRlekNXK0c0VXhnay9JUT09
“Two models for describing 2D Deep Water Waves”
S.V. Dremov (1,3), D.I. Kachulin (1,3), A.I. Dyachenko (2,1)
1 Skolkovo Institute of Science and Technology, Moscow, Russia
2 Landau Institute for Theoretical Physics, Chernogolovka, Russia
3 Novosibirsk State University, Novosibirsk, Russia
We propose two Hamiltonian models to describe two-dimensional deep water waves
propagating on the surface of an ideal incompressible three-dimensional fluid. The
idea is based on taking advantage of the Zakharov equation for one-dimensional waves
which can be written in the form of the so-called compact equations. We generalize
these equations to the case of two-dimensional waves. As a test of our models
we perform numerical simulations of the dynamics of standing waves in a water
channel with smooth vertical walls. The results obtained in the proposed models are
comparable, indicating that the models are similar to the original Zakharov equation.
Questions to Andrei Pushkarev, dr.push@gmail.com
E.A. Kuznetsov, A.N. Pushkarev
Organizers
Date |
Speaker | Title | |
25.05.2022 |
S.Dremov | Two models for describing 2D Deep Water Waves | |
04.05.2020 | A.Dyachenko | Integration of the NLSE with Periodic Boundary Conditions | |
20.04.2022 | L.Smirnov | Dynamics of two-dimensional dark solitons in a smoothly inhomogeneous Bose-Einstein condensate. Scattering of vortex-antivortex pairs by a single quantum vortex | |
06.04.2022 | E.Kochurin | Direct numerical simulation of weakly dispersive wave turbulence in 3D geometry | |
23.03.2022 | M.Tribelsky | Fall of a Particle to the Center of a Singular Potential: Exact results | |
16.03.2022 | Y.Stepanyants | Scalar description of three-dimensional flows of incompressible fluid | |
09.03.2022 | I.Sibgatullin | Wave attractors in large aspect ratio domains | |
02.03.2022 | A.Petrov | Exact and asymptotic solutions of free boundary problems | |
16.02.2022 | O.Chkhetiani | Helical turbulence in the Earth’s atmosphere | |
09.02.2022 | S.Vergeles | Effects of finite Rossby number and restricted volume with rigid boundaries on structure of ageostrophic coherent vortex | |
02.02.2022 | A.Shmidt | Theoretical-group analysis of two models of free turbulence | |
17.01.2022 | P.M.Lushnikov | Statistical properties of a laser beam propagating in a turbulent medium | |
08.12.2021 | E.A. Kuznetsov | Collapse of acoustic waves in media with positive dispersion | |
01.12.2021 | A. Gelash | Resonant interactions of vector breathers | |
17.11.2021 | A.Mikhailov | Quantisation of free associative dynamical systems. Bi-quantisation of stationary KdV hierarchy and Novikov’s equations and non-deformation quantisation of the Volterra sub-hierarchy | |
10.11.2021 | M.Pavlov | Non-diagonalisable hydrodynamic type systems integrable by Tsarev’s Generalised Hodograph Method | |
27.10.2021 | D.Agafontsev | Growing of integrable turbulence: new results | |
20.10.2021 | M. Pavlov | Non-diagonalisable Hydrodynamic Type Systems Integrable by Tsarev’s Generalised Hodograph Method | |
13.10.21 | S.Chefranov | Exact solution to the main turbulence problem for a compressible medium and the universal -8/3 law turbulence spectrum of breaking waves | |
06.10.21 | A.V.Mikhailov | Quantisation of free associative dynamical systems. Quantisation ideals | |
29.09.2021 | A.Kamchatnov | Propagation of instability fronts in modulationally unstable systems | |
22.09.2021 | V.Zakharov | Integrable multidimensional generalizations of the chiral field model | |
02.06.2021 | D. Agafontsev | Solitonic model of the condensate | |
26.05.2021 | N.N.Rosanov | Towards extremely short light pulses | |
19.05.2021 | E.A.Kuznetsov | Fine structure of vortex pancakes | |
28.04.2021 | N.M. Zubarev | Two Classes of Exact Solutions of the Problem of Unsteady Plane Motion of a Fluid with the Free Surface – Formation of Singularities | |
14.04.2021 | V.Shrira | Upper-ocean Ekman currents: a new perspective on the century old problem | |
07.04.2021 | V.E.Zakharov | Formation and non-formation of singularity on the surface of ideal fluid without gravity | |
31.03.2021 | S.Dyachenko | The Tale of Two Branch Points: Singularities in 2D flows | |
17.03.2021 | E.A.Kuznetsov | Breaking in the inviscid boundary layer (continuation) | |
10.03.2021 | A.Mailybaev | Hidden spatiotemporal symmetries in turbulence: effects of Galilean invariance | |
03.03.2021 | A.Mailybaev | Hidden spatiotemporal symmetries in statistics of turbulence | |
24.02.2021 | E.A. Kuznetsov | Breaking in inviscid boundary layer | |
17.02.2021 | A. Pushkarev | About ST6 model of wind energy input and wave energy dissipation source terms in operational forecasting of ocean waves | |
10.02.2021 | S.V. Dremov | Bound Coherent Structures Propagating on the Free Surface of Deep Water | |
03.02.2021 | Vladimir Yankov | Solitons, Vortices, Sun, and Tokamaks as Statistical Attractors | |
27.01.2021 | Gregory Falkovich | Fibonacci turbulence | |
20.01.2021 | Sergei K. Turitsyn | Intermediate asymptotics in nonlinear systems and coexistence of coherent structures and linear waves | |
13.01.2021 | S. Nazarenko | Self-similar evolution in wave turbulence and non-equilibrium | |
14-15.12.2020 | 24 speakers | Joint seminar “Nonlinear Waves” with Scientific Council “Nonlinear Dynamics” RAS “Nonlinear Session – 20″ | |
02.12.2020 | A. Kamchatnov | Optico-mechanical analogy and number of solitons | |
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 |