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Fall 1999

IMA Minisymposium:

MATHEMATICAL INVESTIGATIONS OF MODELS IN COMBUSTION

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.

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 |

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
R^{2} |

2:00 pm | François Hamel
CNRS- Universite Pierre et Marie Curie (Paris VI) |
On the Conical Shape of Premixed Bunsen Flames |

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) |

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 |

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 |

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 |

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 |

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 |