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Fall 1999
IMA Minisymposium:
MATHEMATICAL INVESTIGATIONS OF MODELS IN COMBUSTION
November 14-17, 1999


ORGANIZERS:

Jerrold Bebernes
University of Colorado
Department of Mathematics
bebernes@newton.colorado.edu

John W. Dold
UMIST
Department of Mathematics
J.W.Dold@UMIST.ac.uk
http://www.ma.umist.ac.uk/jwd

Jean-Michel Roquejoffre
University of Toulouse
roque@mip.ups-tlse.fr


ADVISORY COMMITTEE:

Henri Berestycki
Universite Paris VI
Beres@dmi.ens.fr

Luis Caffarelli
University of Texas, Austin
Department of Mathematics
caffarel@fireant.ma.utexas.edu

The focus of this minisymposium will be high temperature reactive systems arising in the study of high- and low-speed combustion. The primary purpose is to bring together a number of experts in ordinary and partial differential equations, modellers from combustion theory, and scientific computing specialists to discuss and share ideas for mathematically-analytically and numerically --studying the various combustion models. The emphasis will be on reviewing the field, recent progress, and areas ripe for development.

Combustion science provides a rich source for challenging issues in modelling and scientific computing, raising very difficult mathematical questions. Such questions include: problems of well-posedness which often requires devising new numerical strategies, derivation and validation of asymptotic models, and qualitative behavior studies such as singularity formation and instabilities. Any listing of topics is far from exhaustive.

Understanding such problems provides valuable information to both the combustion science and mathematics communities. Much progress has been made in recent years. For example, the treatment of the reaction-diffusion systems modelling low-speed flames is now almost complete. Major progress has been accomplished in the understanding for new kinds of multidimensional free boundary problems, and singular perturbation techniques have unravelled many intricacies of deflagration and detonation structures including their stability properties. Significant steps have also been taken in understanding models involving complex chemistry. But as more sophisticated modeling evolves, new problems ready for development emerge.

The idea of this conference is therefore to highlight those combustion models that appear both practically interesting and ripe for mathematical development.

MINISYMPOSIUM SCHEDULE

All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
Sunday Monday Tuesday Wednesday

SCHEDULE for SUNDAY, NOVEMBER 14
8:30 am Coffee and Registration Reception Room EE/CS 3-176
9:00 am Willard Miller, Fred Dulles,
and Jerrold Bebernes
Welcome and Orientation
9:20 am Henri Berestycki
Universite de Paris VI
The Influence of Advection on the Propagation of Flame Fronts
10:10 pm Andrew A. Lacey
Heriot-Watt University
Influence of Reactant Consumption on a Reaction Diffusion Model for Ignition

Material from IMA Talk

11:00 am Break Reception Room EE/CS 3-176
11:30 am-12:20 pm Claude-Michel Brauner
Université Bordeaux I
Instability in a Combustion Model with Free Boundary in R2
2:00 pm François Hamel
CNRS- Universite Pierre et Marie Curie (Paris VI)
On the Conical Shape of Premixed Bunsen Flames

Material from IMA Talk

2:50 pm Break Reception Room EE/CS 3-176
3:20 am-4:10 pm Victor Roytburd
Rensselaer Polytechnic Institute
Front Dynamics for a Free Interface Model of Self-propagating High-temperature Synthesis (SHS)

Material from IMA Talk

SCHEDULE for MONDAY, NOVEMBER 15
9:15 am Coffee Reception Room EE/CS 3-176
9:30 am Alberto Bressan
SISSA, Trieste
Well Posedness and Singular Limits for Nonlinear Hyperbolic Systems
10:20 am Break Reception Room EE/CS 3-176
11:00-11:50 am P. Haldenwang
Université de Provence
Numerical Studies of Low Speed Combustion Phenomena
2:00 pm Ioannis Athanasopoulos
University of Crete
The Free Boundary of an Inverse Conductivity Problem
2:50 pm Break Reception Room EE/CS 3-176
3:20-4:10 pm Stefka Dimova
University of Sophia Bulgaria
Numerical Analysis of Nonstationary Dissipative Structures and Waves in Highly Intensive Temperature Fields
SCHEDULE for TUESDAY, NOVEMBER 16
9:15 am Coffee Reception Room EE/CS 3-176
9:30 am Vincent Giovangigli
Ecole Polytechnique
Multicomponent Transport in Flames
10:20 am Break Reception Room EE/CS 3-176
11:00-11:50 am Robert Gardner
University of Massachusetts
Evans Function Analysis and Stability Calculations in the Continous Spectrum

Material from IMA Talk

2:35 pm Lenya Ryzhik
University of Chicago
Reaction Enhancement by Percolating Flows

pdf (114KB)   postscript (404KB)

3:10 pm Break Reception Room EE/CS 3-176
3:40 pm Rodney Weber
University of New South Wales
Combustion Leftovers

Material from IMA Talk

6:00 pm Workshop Dinner TBA
SCHEDULE for WEDNESDAY, NOVEMBER 17
9:15 am Coffee Reception Room EE/CS 3-176
9:30 am Jean-Michel Roquejoffre
University of Toulouse
Time-asymptotic Behaviour in Hamilton-Jacobi Equations

Material from IMA Talk

10:20 am Break Reception Room EE/CS 3-176
11:00-11:50 am Vladimir Goldshtein
Ben Gurion University of the Negev
Radiation Effect on Thermal Runaway
2:00-2:50 pm John Dold
UMIST
Non-monotonic Curvature Dependent Propagation of Flames

Sunday Monday Tuesday Wednesday

LIST OF CONFIRMED PARTICIPANTS

as of 11/12/99

Name Department Affiliation
Ioannis Athanasopoulos   University of Crete
Howard R. Baum Building and Fire Research Laboratory NIST
Jerrold Bebernes   University of Colorado
Henri Berestycki Mathematiques Universite de Paris VI
Michael Booty Mathematical Sciences New Jersey Institute of Technology
Claude-Michel Brauner Mathematiques Appliqu'ees de Bordeaux Universit'e Bordeaux I
Alberto Bressan   SISSA, Trieste
Stephen Bricher Applied Mathematics University of Colorado
J.D. Buckmaster Aeronautical Engineering University of Illinois at Urbana Champaign
Stefka Dimova Faculty of Math and Informatics University of Sofia Bulgaria
John Dold Mathematics UMIST
Fred Dulles   Institute for Mathematics and its Applications
Robert Gardner Mathematics University of Massachusetts
Vincent Giovangigli Centre de Mathematiques Appliquees Ecole Polytechnique
Vladimir Goldshtein   Ben Gurion University of the Negev
P. Haldenwang IRPHE - Technopole de Chateau-Gombert IMT-La jetee
Francois Hamel   Paris VI
Ash Kapila Mathematics Rensselaer Poytechnic Institute
Alexander Kiselev Mathematics University of Chicago
Andrew Lacey Mathematics Heriot-Watt University
Ki Ahm Lee Mathematics University of Californina at Irvine
Tong Li Mathematics University of Iowa
Willard Miller   Institute for Mathematics and its Applications
Jean-Michel Roquejoffre   University of Toulouse
Victor Roytburd Mathematics Rensselaer Polytechnic Institute
Lenya Ryzhik Mathematics University of Chicago
Fadil Santosa MCIM IMA & Minnesota Center for Industrial Math
Akeel Abbas Shah Mathematics UMIST
Srdjan Stojanovic Mathematical Sciences University of Cincinnati
Ron Thatcher Mathematics UMIST
Tatiana Toro Mathematics University of Washington
Vitaly Volpert CNRS, Analyse Numerique University of Lyon I
Pei Yong Wang Mathematics University of Texas - Austin
Rodney Weber Mathematics University of New South Wales
Eric Wright Applied Mathematics University of Colorado


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