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
December 13, 2001, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


On the nonuniqueness of solutions of the equations of the non-linear theory of elasticity

A. G. Kulikovskii

Number of views:
This page:157

Abstract: The system of equations of the non-linear theory of elasticity, which is a hyperbolic system expressing the laws of conservation of mass, momentum, and energy, describes both continuous and discontinuous solutions.
Self-similar problems: the problem of disintegration of an arbitrary discontinuity and the piston problem. Non-uniqueness of the solutions of these problems. Passage to the linear limit as the amplitude of the perturbations tends to zero. Metastable shock wave — the cause of non-uniqueness? Its stability with respect to small perturbations.
Visco-elastic media. Structure of shock waves. Numerical experiments in problems with nonviscous self-similar asymptotics; under suitable conditions any of the non-viscous solutions can be realized as the asymptotic behaviour. Non-linear stability of metastable shock waves.
Concluding remarks. Influence of dispersion on the properties of shock waves.

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