UK Nonlinear News, November 1999


Understanding of the role of acoustics in flame acceleration in regions of partial confinement

University of Leeds

The student will spend the first stage (6 months) familiarising him/herself with the existing quasi-steady codes used by BP-Amoco for explosion prediction. The next stage would be to design simple tests to ascertain whether acoustics play a major role in the experimental tests. The student will then use the existing code to work out an enhanced overall burning velocity, by parameterising the influence of an acoustic field. For the resonance case (where the flame only undergoes one dimensional oscillations), given a frequency (Khz - determined by the geometry of the flame and surrounds in late stages of the progress of the flame), the acoustic enhancement can be easily calculated.

When the flame is curved and spikes develop due to the Taylor-Markstein instability (density discontinuity in an accelerating flow - due to pressure gradients), it will be necessary to run existing CFD programs to predict the increase in flame surface area, and again translate that into increased mass burning rate, and hence overpressure.

The aim will be to form a predictive tool for the acoustic enhancement of burning velocity which can be used by those working with the danger of possible gaseous explosions.

The work will involve considerable use of nonlinear systems expertise in resolving some of the generic instabilities in pressure wave / flame interactions.

Supervisors and contact phone numbers:
Dr. A.C. McIntosh (Fuel and Energy) 0113-233 2506
Professor J. Brindley(Applied Mathematics) 0113-233 5134
Dr. Vincent Tam, Sunbury on Thames 01932 762724

Financial Support: EPSRC studentship rate (stlg 6,445) + stlg2,000 from BP-Amoco.

Starting as soon as possible.

Source: Andy McIntosh.

Studentships and Postdoctoral Positions in LOCNET

Localisation by Nonlinearity and Spatial Discreteness, and Energy Transfer, in Crystals, Biomolecules and Josephson Arrays

Locnet research training network

A Research Training Network on "Localisation by Nonlinearity and Spatial Discreteness, and Energy Transfer, in Crystals, Biomolecules and Josephson Arrays" has just been approved for funding by the EC.  Coordinated by R.S. MacKay from the University of Warwick, the other participant leaders are S. Aubry (Saclay), A.V. Ustinov (Erlangen), M. Floria (Zaragoza), P.L. Christiansen (Lyngby), G.P. Tsironis (Heraklion), R. Livi (Firenze) and F Fillaux (Thiais).  It has several subcontractors, with leaders J.C. Eilbeck (Edinburgh), M. Peyrard (Lyon), S. Flach (Dresden), J.M. Sancho (Barcelona), L. Vazquez (Madrid), N. Theodorakopolis (Athens) and M. Barthes (Montpellier).  It also has several associate groups, with leaders P. Littlewood (Cambridge), J-A Sepulchre (Nice), D. Hennig (Berlin), J.F.R. Archilla (Sevilla), M. Salerno (Salerno) and D. Bambusi (Milano), who will be involved in the research but not the training. 

The project will start in early Spring 2000 and run for 4 years.  It is projected to train young researchers for a total of 329 months in the laboratories of the participants and subcontractors in this exciting field, of which 293 postdoctoral and 36 predoctoral (other funding routes for further predoctoral appointment are envisaged).  The project ranges over mathematics, physics, computation and experiments. Applications are welcome to any of the participant and subcontractor leaders. The standard EC RTN rules apply about eligibility, please check these yourself first on (the full rules are available in the RTN Guide for Proposers under Allowable Costs). Information on vacancies will be coordinated through a website to be set up at Warwick.  It does not yet exist, but will be accessible via in the near future.

Source: R.S.MacKay

Studentships and Postdoctoral Positions in MASIE

Mechanics and Symmetry in Europe: the geometry and dynamics of deformable bodies

Masie research training network

This is a new European Research Training Network (under the Fifth (EC) Framework Programme), which the EC has just announced has been awarded a grant "subject to contract negotiations".  The coordinator is Mark Roberts (Warwick).  There are 10 research groups involved, including 3 in the UK (based at Warwick, Surrey and Nottingham), 2 in France and 1 each in Portugal, Italy, Germany, Netherlands and Switzerland. More details can be found on the web at the home page

There will be 10 positions associated with the Network and financed by the EC - 5 studentships and 5 postdocs. There is also funding for 2 summer schools, hopefully the first will take place in July 2000. The details have not been finalised yet, and interested people should first visit the website.

Source: James Montaldi


Atmospheric Sciences

Boulder, Colorado, USA

Atmospheric Sciences
Postdoctoral Fellowships
NCAR/Advanced Study Program
Boulder, Colorado, USA
Deadline: 5 January 2000

The National Center for Atmospheric Research (NCAR) expects to offer 8-10 new postdoctoral fellowships to support research projects in atmospheric science. Applicants with degrees outside atmospheric science (for example, physics, chemistry, applied mathematics, or societal impacts assessment) are also considered if their intent is to apply their areas of expertise to studies of atmospheric processes. NCAR also conducts studies of the sun and invites applications related to that area of research. (See the HAO announcement at

Primary selection critera are the applicant's scientific capability and potential, especially as indicated by originality and independence, and the match between the applicant's interests and the research opportunities available at NCAR. Most fellows develop research projects in collaboration with NCAR scientists, but all are expected to choose their own research directions and are responsible for the design and conduct of their own projects.

Applicants must have received the Ph.D. not more than four years before the application date or must be able to complete the Ph.D. before starting the NCAR appointment. We encourage applications from women and minorities. The current first-year stipend is $37,000 (plus health and other benefits); appointments are often extended to a second year (currently at $39,000). For more information and for required application material, please see Barbara Hansford, NCAR/ASP/U, P.O. Box 3000, Boulder, CO 80307-3000 (application and reference letters due by the 5 January 2000 deadline!) (303) 497-1601 or fax (303) 497-1646. NCAR is an affirmative action/equal opportunity employer.

Source: Barbara Hansford, (

Georgia Institute of Technology

Center for Dynamical Systems and Nonlinear Studies

Postdoctoral applicants are expected to show outstanding promise in research in an area related to dynamical systems, differential equations, numerical analysis, applied mathematics, or nonlinear analysis. Candidates should have received a Ph.D. prior to the start of the appointment starting in the Fall semester of 2000. Applicants should send a letter of application with a curriculum vitae, a list of publications, a summary of future research plans and at least three letters of recommendations to:

Postdoctoral Position
Center for Dynamical Systems and Nonlinear Studies
Georgia Institute of Technology,
Atlanta GA 30332-0190

For more information about the position see

Source: Dynamic Notes Volume 1999.02.

Physics of Complex Systems

Department of Physics & Astronomy

Northwestern University, Evanston IL USA

A post-doctoral position for research in classical and quantum chaos, complex systems, statistical physics, turbulence and related fields. (For information on activities at Northwestern, see

Applications should include a curriculum vitae, list of publications and a description of research interests and goals. In addition, applicants should arrange for 2-3 letters of reference to be sent to:

Predrag Cvitanovic'
Physics & Astronomy
Northwestern University
2145 Sheridan Road
Evanston, Illinois 60208-3112, USA

Source: Predrag Cvitanovic'

Mathematical modelling of cell-growth in plants and mammals.

Department of Mathematics and Statistics

University of Canterbury (New Zealand)

Applications are invited from mathematical scientists for a University of Canterbury postdoctoral position working in the area of mathematical modelling of cell-growth in plants and mammals. This will involve the use of analytical and numerical solution of partial differential equation models which describe the growth of cells which are simultaneously undergoing division. The project leaders are Professors Graeme Wake and David Wall of the Biomathematics Research Centre within the Department of Mathematics and Statistics.

Candidates should be eligible for the award of their Ph.D., or its equivalent, at the time of their appointment which is expected to be no later than 31st March 2000. They should have good academic credentials and have published in international journals. The fellowship is tenable for two years.

Applications should include a curriculum vitae, a description of the applicant's previous experience in applied mathematics and/or biomathematics and their particular areas of interest. Please quote vacancy number MT78.

You are required to have three referees submit reports directly to the Human Resources Registrar at Canterbury University (Private Bag 4800, Christchurch, New Zealand) by the closing date specified. Referees should specify telephone, fax and e-mail contact details. Information for candidates on this position, and guidelines on how to apply, are available at:

Further details are available from the Project Leaders:

Reference number MT78. Closing Date 30th November 1999.

Source Graeme C. Wake


Department of Mathematics

University of Michigan

Lectureships in Applied and Interdisciplinary Mathematics

The department has openings at the tenure-track or tenure level in the area of applied and interdisciplinary mathematics. Applicants should have a Ph.D. in mathematics or a related discipline, such as physics, engineering, chemistry, computer science, or biomathematics, and should show outstanding promise and/or accomplishments in both research and teaching. Areas of special interest include, but are not restricted to, mathematical physics; fluid mechanics and mathematical materials sciences, geophysical fluid dynamics, mathematical geosciences; theoretical biology and biomathematics, neurosciences; numerical analysis; and theoretical computer science. Salaries are competitive, based on credentials.

Applicants should send a cv, bibliography, and descriptions of research and teaching experience and have three or four letters of recommendation, at least one of which addresses the applicants' teaching experience and capabilities, sent to: Personnel Committee, University of Michigan, Department of Mathematics, 2074 East Hall, Ann Arbor MI 48109-1109. Applications are considered on a continuing basis but candidates are urged to apply by November 1, 1999. Information regarding available positions can also be found on our Web page at, and inquiries can be made by e-mail to

The University of Michigan is an affirmative action, equal opportunity employer.

Source: Candy Ellis ( ((UK Nonlinear News has been asked to run this position even though we do not expect to release this issue until after November 1st.))

<< Move to UK Nonlinear News Issue Eighteen Index Page (November 1999).
Last Updated: 5th November 1999.

Professor Graeme WakeTel 64 3 364-2682 Fax 64 3 364-2587 e-mail
Professor David Wall Tel 64 3 364-2699 Fax 64 3 364-2587 e-mail