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
Author(s): Robert S Anderssen, James M Hill, Amiya K. Pani (Eds.)
Series: Proceedings of the Centre for Mathematics and Its Applications, Australian National University 30
Edition: 1
Publisher: Centre for Mathematics and its Applications, Australian National University
Year: 1992
Language: English
Commentary: Made from the PDFs at: http://maths.anu.edu.au/research/symposia-proceedings/mini-conference-free-and-moving-boundary-and-diffusion-problems
Pages: 225
City: Canberra
1 - Similarity solutions for nonlinear diffusion and related phenomena - J.M. Hill......Page 1
2 - Diffusion with trapping and fast diffusion parths - L.R.F Rose......Page 2
3 - Relaxed variational principles and algorithms for the equalibria of rotating self-gravitating fluids - G. Auchmuty......Page 18
4 - A survey of supercooled stefan problems - J. N. Dewynne......Page 42
5 - Fire spread as a moving boundary - R.O. Weber......Page 57
6 - Velocity and shape selection in dendritic growth - M.N. Barber......Page 68
7 - Particular solutions methods for free and moving boundary problems - J.C. Mason and R.O. Weber......Page 87
8 - Water non-waves - E.O. Tuck......Page 109
9 - Oscillations in parabolic neutral systems - K. Gopalsamy......Page 128
10 - A pirori error estimates for finite element galerkin approximations to a free boundary problem in polymer technology - A.K. Pani and R.S. Anderssen......Page 142
11 - Moving boundary problems with nonlinear diffusion - P. Broadbridge......Page 154
12 - Regularity for obstacle problems with applications to the free boundaries in the constrained least gradient problem - G. Williams......Page 177
13 - The freezing time for pseudo-ellipsoids - A. McNabb and R.S. Anderssen......Page 184
14 - Moving boundary problems in solid/liquid separation - K.A. Landman and L.R. White......Page 196
15 - Waiting-time behaviour for a fourth-order nonlinear diffusion equation - N. F. Smyth......Page 212
16 - Deposition from a curved Shallow flow treated as a moving boundary of constant form - R. A Wooding......Page 218
