RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars





You may need the following programs to see the files








Steklov Mathematical Institute Seminar
January 28, 2010 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Solitons in elastic shells

A. T. Il'ichev

Number of views:
This page:507
Video files:294
Youtube Video:

A. T. Il'ichev
Photo Gallery




Abstract: The flow of incompressible fluid in elastic membrane cylidric tube is under investigation, which is modelled by an axisymmetric shell. It is considered in biological literature that provided the proper choise of the equation of state (elastic potential), the flow of blood in arteries can be modelled by such a flow. It is shown for the first time, that except the standing solitary waves in the form of the aneurizm for the rest at infinity, which take place for concrete rates of initial deformations and constant pressure, there exist two families of running solitary waves for all values of initial deformations and the speed of a fluid at infinity. This solitary waves posess speeds close to those given by the linear dispersion relation. It is shown also that mentioned solitary waves persist for the full system in a sense that they are uniformely aproximated by corrresponding solitary waves of truncated equations. Dynamical stability of standing solitary waves in the form of the aneurizm is considered.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017