Mini-Conference on Free and Moving Boundary and Diffusion Problems

Preface

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

Contents

Chapter Page number
1 - Similarity solutions for nonlinear diffusion and related phenomena (pdf 116.9 KB)
J.M. Hill
1
2 - Diffusion with trapping and fast diffusion parths (pdf 1.37 MB)
L.R.F Rose
2
3 - Relaxed variational principles and algorithms for the equalibria of rotating self-gravitating fluids (pdf 1.58 MB)
G. Auchmuty
18
4 - A survey of supercooled stefan problems (pdf 1.52 MB)
J. N. Dewynne
42
5 - Fire spread as a moving boundary (pdf 771.99 KB)
R.O. Weber
57
6 - Velocity and shape selection in dendritic growth (pdf 1.93 MB)
M.N. Barber
68
7 - Water non-waves (pdf 1.44 MB)
E.O. Tuck
109
8 - Oscillations in parabolic neutral systems (pdf 687.64 KB)
K. Gopalsamy
128
9 - A pirori error estimates for finite element galerkin approximations to a free boundary problem in polymer technology (pdf 712.05 KB)
A.K. Pani and R.S. Anderssen
142
10 - A pirori error estimates for finite element galerkin approximations to a free boundary problem in polymer technology (pdf 712.05 KB)
A.K. Pani and R.S. Anderssen
142
11 - Moving boundary problems with nonlinear diffusion (pdf 1.48 MB)
P. Broadbridge
154
12 - Regularity for obstacle problems with applications to the free boundaries in the constrained least gradient problem (pdf 552.85 KB)
G. Williams
177
13 - The freezing time for pseudo-ellipsoids (pdf 831.42 KB)
A. McNabb and R.S. Anderssen
184
14 - Moving boundary problems in solid/liquid separation (pdf 1022.33 KB)
K.A. Landman and L.R. White
196
15 - Waiting-time behaviour for a fourth-order nonlinear diffusion equation (pdf 455.33 KB)
N. F. Smyth
212
16 - Deposition from a curved Shallow flow treated as a moving boundary of constant form (pdf 432.77 KB)
R. A Wooding
218