Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Philippe G. Ciarlet and Prof. Roderick Wong

Mathematical Theory of Hysteresis – An introduction

by
Professor Gérard Tronel
Université Pierre et Marie Curie,
Paris, France

Date : November 23, 2005 (Wednesday)
Time : 4:30 pm to 5:30 pm
Venue : Room 6605 (Faculty Conference Room)
Blue Zone, Level 6, Academic Building
City University of Hong Kong

Abstract: The lecture will be devoted to a presentation of the elementary mathematical theory of hysteresis. Models coming from physics, mechanics, and biology will be introduced and the general concepts of hysteresis operators, which are called hysterons, will be given. The difficulties of the theory lie with the special features of hysterons: Such operators are nonlinear, non-reversible, and non-commutative.

For simplicity, only one dimensional models will be studied, in particular the Duhem problem.

The mathematical theory of hysteresis is a relatively new field with many open problems, regarding the modelling, mathematical analysis, numerical analysis, and numerical simulations.

* Tea, coffee and cookies will be provided at the Faculty Common Room in B6501 before the colloquium from 4:00 p.m. to 4:30 p.m. Please come and join us!

** All interested are welcome **

For enquiry: 2788-9816

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