Mini-Conference on Free and Moving Boundary and Diffusion Problems

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Conference paper



Status: Out of stock
Volume: 30
Venue: Australian National University (Canberra)


As part of the special year devoted to the Application and Numerical Solutions to Partial Differential Equations, the Centre for Mathematical Analysis at the Australian National University, Canberra, hosted a Min-conference on Free and Moving Boundary and Diffusion Problems on June 14-16, 1990.  The primary aim was to stimulate strong interaction between moving boundary and diffusion problems and mathematicians (pure, applied, and computational) working on the mathematical theory as well as on the exact and approximate solution of such problems.  In addition, the Mini-conference aimed to foster the interest of younger colleagues in research connected with these problems.  A number of Australian and overseas speakers were invited to participate.

This volume contains the proceedings of the Mini-conference.  The papers are arranged in their order of presentation at the conference.  Alternatively, the papers could have been organised in terms of the focus they gave to deliberations about the applications and numerical solutions of free and moving boundary and diffusion problems.  In particular, such a reorganisation would fall naturally under the following headings:  specific and novel applications, analytic and semianalytic methods, numerical techniques and theoretical studies.

Bob Anderson, CSIRO &CMA

Jim Hill, University of Wollongong

Amiya Pani, IIT, Bombay


1Similarity solutions for nonlinear diffusion and related phenomena
J.M. Hill
2Diffusion with trapping and fast diffusion parths
L.R.F Rose
3Relaxed variational principles and algorithms for the equalibria of rotating self-gravitating fluids
G. Auchmuty
4A survey of supercooled stefan problems
J. N. Dewynne
5Fire spread as a moving boundary
R.O. Weber
6Velocity and shape selection in dendritic growth
M.N. Barber
7Water non-waves
E.O. Tuck
8Oscillations in parabolic neutral systems
K. Gopalsamy
9A pirori error estimates for finite element galerkin approximations to a free boundary problem in polymer technology
A.K. Pani and R.S. Anderssen
10A pirori error estimates for finite element galerkin approximations to a free boundary problem in polymer technology
A.K. Pani and R.S. Anderssen
11Moving boundary problems with nonlinear diffusion
P. Broadbridge
12Regularity for obstacle problems with applications to the free boundaries in the constrained least gradient problem
G. Williams
13The freezing time for pseudo-ellipsoids
A. McNabb and R.S. Anderssen
14Moving boundary problems in solid/liquid separation
K.A. Landman and L.R. White
15Waiting-time behaviour for a fourth-order nonlinear diffusion equation
N. F. Smyth
16Deposition from a curved Shallow flow treated as a moving boundary of constant form
R. A Wooding

Copyright statement

First published in Australia 1992

© Centre for Mathematics and its Applications
Mathematical Sciences Institute
The Australian National University

This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

Edited by

Amiya K. Pani and Robert S. Anderssen

Mini-Conference on Inverse Problems in Partial Differential Equations

ISBN 0 7315 0446 1