Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Forthcoming seminars

You may need the following programs to see the files

Steklov Mathematical Institute Seminar
October 4, 2007 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

Is free surface hydrodynamics integrable?

V. E. Zakharov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Video records:
Windows Media 303.8 Mb
Flash Video 310.7 Mb
MP4 310.7 Mb

Number of views:
This page:801
Video files:367
Youtube Video:

V. E. Zakharov
Photo Gallery

Видео не загружается в Ваш браузер:
  1. Установите Adobe Flash Player    

  2. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  3. Сообщите администратору портала о данной ошибке

Abstract: I study the potental flow of ideal incompressible infinitely deep fluid with free surface in two dimensional space. Gravity and capilliarity might be included. The domain filled with fluid is conformally mapped onto the lower half-plane. The fluid dynamics is governed now by two evolutional intergo-differential equations having non-canonical Hamiltionian structure. How many motions contants are preserved by this dynamical system?
We show that besides the trivial constants (mass, momentum, energy) this system preserves indefinite number of extra motion constant. Their number depends on initial data. The function realizing the conformal mapping has moving cuts and moving zeros in the upper half plane. We show that each moving zero generates four independent extra motion constants. This fact leads to conjecture that the whole system is integrable, but this statement is not yet proven.

SHARE: FaceBook Twitter Livejournal
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020