ISSN 1442-4436 Journal of the Australian Mathematical Society Series B Electronic (Applied Mathematics)

Contents of volume 33, 1991--2

• printed Part 1, July 1991
• printed Part 2, October 1991
• printed Part 3, January 1992
• printed Part 4, April 1992

On the microwave hotspot problem

C. J. Coleman, see abstract and article, pp 1--8

Inertial manifold for a reaction diffusion equation model of competition in a chemostat

Joseph Wai Hung So, see abstract and article, pp 9--15

Porous medium combustion: ignition, temporal evolution, and parameter dependence

K. K. Tam, see abstract and article, pp 16--26

Numerical study of Fisher's equation by a Petrov-Galerkin finite element method

S. Tang and R. O. Weber, see abstract and article, pp 27--38

Piecewise-constant collocation for first-kind boundary integral equations

I. G. Graham and Y. Yan, see abstract and article, pp 39--64

A mathematical analysis of wind effects on a long-jumper

Neville de Mestre, see abstract and article, pp 65--76

Some Bianchi type VI ₀ viscous fluid cosmological models

L. K. Patel and Sharda S. Koppar, see abstract and article, pp 77--84

Continuation and uniqueness for generalised Emden-Fowler systems

Lynn H. Erbe and Zhongchao Liang, see abstract and article, pp 85--93

The equations of viscous incompressible non-homogeneous fluids: on the existence and regularity

Rodolfo Salvi, see abstract and article, pp 94--110

A cylindrical wave-maker problem in a liquid of finite depth with an inertial surface in the presence of surface tension

N. K. Ghosh, see abstract and article, pp 111--121

Sudden cardiac arrest and a problem in topology

Sidney A. Morris and Peter J. Nyikos, see abstract and article, pp 123--132

Hopf bifurcation at infinity with discontinuous nonlinearities

Xiangjian He, see abstract and article, pp 133--148

Determination of a control parameter in a parabolic partial differential equation

J. R. Cannon, Yanping Lin and Shingmin Wang, see abstract and article, pp 149--163

Determination of a controllable set for a controlled dynamic system

Shige Peng and Jiongmin Yong, see abstract and article, pp 164--179

Uncertainty principles invariant under the fractional Fourier transform

David Mustard, see abstract and article, pp 180--191

Spectral factorisation and prediction of multivariate processes with time-dependent rational spectral density matrices

N. M. Spencer and V. V. Anh, see abstract and article, pp 192--210

A method for the study of fully developed parallel flow in straight ducts of arbitrary cross section

J. Mazumdar and R. N. Dubey, see abstract and article, pp 211--239

Ground motion on alluvial valleys under incident plane SH waves

David L. Clements and Ashley Larsson, see abstract and article, pp 240--253

Some boundary-value problems for nonlinear ( N ) diffusion and psuedo-plastic flow

C. Atkinson and C. R. Champion, see abstract and article, pp 255--268

Control of a surface of discontinuity in continuous thickness

N. G. Barton and C.-H. Li and S. J. Spencer, see abstract and article, pp 269--289

Some similarity temperature profiles for the microwave heating of a half-space

James M. Hill and Adrian H. Pincombe, see abstract and article, pp 290--320

Local transformations between some nonlinear diffusion equations

J. R. King, see abstract and article, pp 321--349

Critical initial conditions for spatially-distributed thermal explosions

A. A. Lacey and G. C. Wake, see abstract and article, pp 350--362

Exact solutions for redistribution by nonlinear convection-diffusion

J. R. Philip, see abstract and article, pp 363--383

Exact solutions to nonlinear diffusion-convection problems on finite domains

G. C. Sander, see abstract and article, pp 384--401

The effect of conductivity on hotspots

N. F. Smyth, see abstract and article, pp 403--413

The asymptotics of extinction in nonlinear diffusion reaction equations

R. E. Grundy, see abstract and article, pp 414--429

Exact nonlinear solution for constant-rate expression from material of finite thickness

P. Broadbridge and P. J. Banks, see abstract and article, pp 430--450

Interaction of buoyant plumes in open-channel flow

P. J. Wicks, see abstract and article, pp 451--473

[The above four papers are from the Special Issue on Nonlinear Diffusion]

see preface

Cooling of an infinite slab in a two-fluid medium

R. K. Bera and A. Chakrabarti, see abstract and article, pp 474--485

Normal forms for elements of o(p, q) and Hamiltonians with integrals linear in momenta

Gerard Thompson, see abstract and article, pp 486--507

The existence of periodic solutions for a class of neutral differential difference equations

Yongshao Chen, see abstract and article, pp 508--516

Nonlinearly constrained optimal control problems

K. L. Teo and K. H. Wong, see abstract and article, pp 517--530

Duality without constraint qualification for multiobjective programming

R. R. Egudo, T. Weir and B. Mond, see abstract and article, pp 531--544