Professor Andy King, who died in January of this year, was an outstanding applied mathematician, with wide-ranging research interests. At this meeting, sixteen of his friends and collaborators will give invited talks on subjects relevant to Andy's work. Topics will include industrial mathematical modelling, reaction-diffusion equations, free surface flows and combustion. Confirmed speakers are:

Professor David Abrahams, University of Manchester

Professor John Billingham, University of Nottingham

Dr Stephen Decent, University of Birmingham

Professor Sam Falle, University of Leeds

Professor John King, University of Nottingham

Professor John Merkin, University of Leeds

Professor David Needham, University of Reading

Dr John Ockendon, University of Oxford

Professor David Parker, University of Edinburgh

Professor David Riley, University of Nottingham

Dr Ruben Schulkes, Norsk Hydro

Dr Nigel Scott, University of East Anglia

Dr Gary Sharpe, University of Leeds

Dr Yulii Shikhmurzaev, University of Birmingham

Professor Jean-Marc Vanden-Broeck, University of East Anglia

Professor Graham Wilks, University of Keele

The meeting will be held at the Department of Mathematics at the University of Reading, where Andy was a Special Professor. The meeting will start at 1.30pm on January 4th and end at 3.30pm on January 5th, 2006. All are welcome to attend, but a registration fee of £50 will be charged to cover overnight accommodation and the conference dinner. However, we have funds to cover the costs of eight research students. A special issue of the IMA Journal of Applied Mathematics dedicated to Andy, and containing contributions from most of the speakers, will appear after the meeting. The closing date for registration was 16th December 2005, and the final list of participants is given below.

This meeting has been made possible by funding from the London Mathematical Society and the University of Reading.

Accommodation and meals will be at St Patrick's Hall, Northcote Avenue, and the talks will be in the Engineering Gordon Lecture Theatre in the Engineering Building.

St Patrick's Hall and the Engineering Building are marked on this map (the Engineering Building is building number 25).

A draft programme is now available.

Final list of participants

Mr James Andrews, University of Birmingham

Professor Simon Chandler-Wilde, University of Reading

Professor John Chapman, Keele University

Miss Natalie Culverhouse, University of Birmingham

Mr Geoffrey Curtis, University of Birmingham

Professor Ulf Ehrenmark, London Metropolitan University

Professor David Evans, University of Bristol

Mr Robert Harter, University of Manchester

Dr Chris Howls, University of Southampton

Mr Zahir Hussain, University of Birmingham

Professor Oliver Jensen, University of Nottingham

Professor Andrew Lacey, Heriot Watt University

Dr John Leach, University of Reading

Dr Stephen Langdon, University of Reading

Mr Jeremy Marston, University of Birmingham

Mr Moss Mokgolele, Univesity fo Reading

Dr William Parnell, University of Manchester

Professor Howell Peregrine, University of Bristol

Mr Sylvain Reboux, University of Nottingham

Professor Norman Riley, University of East Anglia

Dr Mark Simmons, University of Birmingham

Dr Warren Smith, University of Birmingham

Mr James Sprittles, University of Birmingham

Dr Sharon Stephen, University of Birmingham

Dr Richard Tew, University of Nottingham

Dr Ian Thompson, University of Loughborough

Mr Jamal Uddin, University of Birmingham

Mr Paul Wakeley, University of Birmingham

Professor Adam Wheeler, University of Southampton

Mr Ian Williams, University of Bristol

Composite materials have complex wave characteristics because of the multiple scattering interactions between the inclusions. For periodic composites, however, there are a number of techniques available to tackle the problem (see [1] for details) and we will discuss an asymptotic method developed recently [2] which yields an effective anisotropic wave equation of simple form. For random distributions there have been fewer approaches offered to solve the problem. The main method, still pursued actively today [3], is due to Foldy [4] and uses a closure assumption such as the quasi crystalline approximation to determine the effective wave characteristics. Whilst, offering the correct leading order (low frequency) effective wavenumber, this method usually yields an imaginary term at higher orders which indicates energy loss as the wave propagates. We discuss this energy loss for a very simple model problem, and compare the result with that found by an alterative averaging approach.

[1] Parnell, WJ & Abrahams, ID. A new integral equation approach to elastodynamic homogenisation. To be submitted, 2005.

[2] Parnell, WJ & Abrahams, ID. Dynamic homogenization in periodic fibre reinforced media; quasi-static Limit for SH Waves. Submitted to Wave Motion, 2005.

[3] Linton, CM & Martin, PA. Multiple scattering by random configurations of circular cylinders: second order corrections for the effective wavenumber. J. Acoust. Soc. Amer., 117:3413-3423, 2005.

[4] Foldy, LL. Multiple scattering theory of waves. Phys. Rev., 67:107-119, 1945.

In this talk I will discuss the interaction between this instability and magnetohydrodynamic waves and show that these can explain many of the observations of star forming regions. In particular, it seems that self-gravity may not play much of a role in the initial fragmentation of interstellar clouds, which is contrary to current received wisdom.