Entrance hall of the ICMS

Geometric Analysis, Elasticity and PDE

Jun 23, 2008 - Jun 27, 2008

Heriot Watt University, Edinburgh

Scientific Organiser
Jack Carr

Scientific Committee
Professor Jerry Bona, Co-Chair (University of Illinois)
Professor Jack Carr, Heriot-Watt University
Professor Dick James (University of Minnesota)
Professor Jerry Marsden, Co-Chair (California Institute of Technology)
Professor Stefan Müller (Max Planck Institute for Mathematics, Leipzig)
Dr François Murat (Université Pierre et Marie Curie, Paris VI)
Professor Marshall Slemrod (University of Wisconsin)

Local Organising Committee
Professor Tony Carbery (University of Edinburgh)
Professor Jack Carr (Heriot-Watt University)
Professor Chris Eilbeck (Heriot-Watt University)
Professor Robin Knops (Heriot-Watt University)
Professor John Toland (University of Bath)

2008 sees the 60th birthday of Sir John Ball, FRS, FRSE, and we will be celebrating this occasion during the workshop. Lecture notes and photographs from the workshop are now available on a page maintained by Professor Eilbeck.

Nonlinear Partial Differential Equations (PDE) are of fundamental importance in mathematics and although major progress in their study has recently been achieved, many profound challenges remain. Developments are motivated not only by advances in pure and applied mathematics but also by new issues in the physical and biological sciences, mathematical finance and risk theory and many other applied disciplines.

Analytical, dynamical systems, as well as geometric methods continue to play a critical role in both fundamental investigations as well as numerical methods in solid and fluid mechanics, including complex materials, such as material microstructures and liquid crystals. It is clear that this subject is in a period of exciting growth and development. The principal aim of the workshop is to promote international exchange of recent developments in the analysis and geometry of PDE and their applications.

Specific objectives include:

  1. mapping new frontiers of research
  2. building bridges between the most recent developments in the general mathematical theory and the areas of applications that have developed most actively in the last few years,
  3. identifying new applications of PDE

Specific themes of the workshop include:

  • Nonlinear elasticity and liquid crystals
  • Material science; microstructure, minimizer in the presence of symmetry, relation with experiment
  • Calculus of variations
  • Systems of conservation laws
  • Transport equations
  • Biomaterials Dynamical systems methods and the PDEs of mechanics


Supporting Institutions
EPSRC
Maxwell Institute for Mathematical Sciences (Centre for Analysis and Nonlinear PDE)
University of Oxford
LMS
Edinburgh Mathematical Society

 

Arrangements

Participation
You may apply to attend this meeting by completing the application form which is available at the top of this page. (Please note that the application form will close on 23 May, or when we have reached the maximum number for the meeting, 150.) You will then receive an e-mail confirming your place. Speakers and committee members will receive a separate invitation via e-mail.

If you do not receive an e-mail please contact Morag Burton.

Venue
The Workshop will be held at Heriot-Watt University. The campus is on the western edge of the city, near the airport, with excellent public transport to and from Edinburgh city centre. Click here for instructions on how to reach the university by various forms of transport.

Registration
There will be a combined Registration and Welcome Buffet on Sunday 22 June, at Heriot-Watt University. Those who cannot register on Sunday evening may do so on Monday 23 June prior to the start of the lectures or during the first coffee break. There will be a Registration Fee of 60.00 GBP. For those of you who want to pay by credit card, the credit card form can be found here. You may post or fax (+44 (0)131 220 1053) this to us in advance or bring it with you, already filled in, to registration. Please note that there is a 1.75% charge for use of credit cards

Poster Sessions
Contributed presentations in poster format are invited in all areas consistent with the conference themes. If you wish to submit a poster please submit a title and abstract (maximum 75 words) to J. Carr (at) ma.hw.ac.uk and a prompt decision will be made on its acceptability. Information on the format of the poster sessions will be available in March 2008.

Audio/Visual Facilities
A data projector, overhead projector, PC, laptopconnection and blackboards will be available.

Accommodation and Facilities
Single study-bedrooms are available at Heriot-Watt University. To book contact the Edinburgh Conference Centre directly on +44 (0)131 451 3669 or e-mail info@edinburgh-conference.com .
Invited participants should refer to their personal invitation letter for accommodation arrangements.

All rooms have a private shower and toilet and a telephone. The telephone will access incoming calls. You need to buy a telephone card from Reception in order to make outgoing calls. Each room also has an internet point should you wish to bring your laptop, although there is a charge for this service. Free email and internet access will be arranged in the central computer labs, the Library and to the university wireless network.

Meals and Refreshments
Breakfast will be provided for Heriot-Watt University residents for the period of their stay in the Middle Floor Dining Room.

Refreshments will be available during workshop breaks.

There will be a buffet supper (free of charge to participants) on the evening of Sunday 22 June between 19.00 and 20.30. Participants may register for the workshop during this buffet.

The Workshop Dinner will be on Thursday 26 June. Non-invitees are welcome to come to this on payment of £30.00, which will cover the dinner and wine. Payment for the dinner may be added to the amount being paid for the Registration Fee (see above).

Programme

Provisional Timetable

Monday 23 June
09:00-09:30 John Toland: Welcome
Chair: Jack Carr
09:30-10:30 Constantine Dafermos (Brown University)
Elastodynamics and John Ball
10:30-11:00 Refreshments
11:00-12:00 Stuart Antman (University of Maryland)
Asymptotics of small inertias and large times in nonlinear continuum mechanics
12:00-13:00 Carme Calderer (University of Minnesota)
Nonlinear elasticity and liquid crystals in biological and biomedical application
13:00-14:30 Lunch
Chair: Tony Carbery
14:30-15:30 Maria J. Esteban (CEREMADE)
Critical magnetic field for the Dirac-Coulomb model
15:30-16:00 Refreshments
16:00-17:00 Vladimir Sverak (University of Minnesota)
Liouville theorems for the Navier-Stokes equations
17:00-18:00 Poster Viewing

Tuesday 24 June
Chair: Robin Knops
09:30-10:30 Stefan Müller (Max Planck Institute for Mathematics, Leipzig)
Some thoughts about crystals and the Cauchy-Born rule at positive temperature
10:30-11:00 Refreshments
11:00-12:00 Sergio Conti (Universität Bonn)
Patterns in thin elastic sheets
12:00-13:00 Philippe Ciarlet (City University of Hong Kong)
Intrinsic elasticity
13:00-14:30 Lunch and Poster Viewing
Chair: Dick James
14:30-15:30 Nick Schryvers (University of Antwerp)
Nano- and microstructures charaterized by transmission electron microscopy
15:30-16:00 Refreshments
16:00-17:00 Kaushik Bhattacharya (California Institute of Technology)
Electronic structure and macroscopic properties of solids
17:00-18:00 Poster Viewing

Wednesday 25 June
Chair: Chris Eilbeck
09:30-10:30 Bob Kohn (New York University)
Cloaking by change of variables
10:30-11:00 Refreshments
11:00-12:00 Gero Friesecke (University of Warwick)
A mathematical picture of basic aspects of the periodic table
12:00-13:00 Oliver Penrose (Heriot-Watt University)
Statisical mechanics of nonlinear elasticity in the system of hard disks
13:00-14:30 Lunch
14:30-19:00 Afternoon Free

Thursday 26 June
Chair: Stefan Müller
09:30-10:30 François Murat (Université Pierre et Marie Curie (Paris VI))
A priori estimate and existence for elliptic problems with subquadratic gradient dependent terms
10:30-11:00 Refreshments
11:00-12:00 Laszlo Szekelyhidi (Max Planck Institute, Leipzig)
The h-principle in fluid mechanics
12:00-13:00 Michael Ortiz (California Institute of Technology)
Minimum principles for characterizing the trajectories and microstructural evolution of dissipative systems
13:00-14:30 Lunch
Chair: François Murat
14:30-15:30 Bernard Dacorogna (École Polytechnique Fédérale de Lausanne)
On the pullback equation
15:30-16:00 Refreshments
16:00-17:00 Gilles Francfort (Université Paris-Nord)
Evolution and approximation in brittle fracture
17:00-18:00 Discussions
Host: Robin Knops
19:00-22:30Evening Banquet

Friday 27 June
Chair: Marshall Slemrod
09:30-10:30 Robert Pego (Carnegie Mellon University)
How to compute the pressure in incompressible viscous flow with no-slip boundary
10:30-11:00 Refreshments
11:00-12:00 Antonio DeSimone (SISSA, Trieste)
Excellent swimmers
12:00-13:00 Carsten Carstensen (Humboldt-Universität zu Berlin)
Computational challenges in the calculus of variations
13:00-14:30 Lunch
Chair: Jan Kristensen
14:30-15:30 Yann Brenier (Université de Nice-Sophia-Antipolis)
Convection, magnetic relaxation and optimal transport
15:30-16:00 Refreshments
16:00-17:00 Terry Tao (University of California at Los Angeles)
Global regularity of wave maps via harmonic map heat flow
17:00-18:00 Jack Carr: Close of Meeting

 

 

Presentations:

Presentation Details
Antman, Stuart
Asymptotics of small inertias and large times in nonlinear continuum mechanics
View Abstract Down
Bhattacharya, Kaushik
Electronic structure and macroscopic properties of solids
View Abstract Down
Brenier, Yann
Convection, magnetic relaxation and optimal transport.
View Abstract Down
Calderer, Carme
Nonlinear elasticity and liquid crystals in biological and biomedical application
View Abstract Down
Carstensen, Carsten
Computational challenges in the calculus of variations
View Abstract Down
Ciarlet, Philippe G.
Intrinsic elasticity
View Abstract Down
Conti, Sergio
Patterns in thin elastic sheets
View Abstract Down
Dacorogna, Bernard
On the pullback equation
View Abstract Down
Dafermos, Constantine
Elastodynamics and John Ball
View Abstract Down
DeSimone, Antonio
Excellent swimmers
View Abstract Down
Esteban, Maria J.
Critical magnetic field for the Dirac-Coulomb model
View Abstract Down
Francfort, Gilles A.
Evolution and approximation in brittle fracture
View Abstract Down
Friesecke, Gero
A mathematical picture of basic aspects of the periodic table
View Abstract Down
Kohn, Robert V.
Cloaking by Change of Variables
View Abstract Down
Murat, François
A priori estimate and existence for elliptic problems with subquadratic gradient dependent terms
View Abstract Down
Ortiz, Michael
Minimum principles for characterizing the trajectories and microstructural evolution of dissipative systems
View Abstract Down
Pego, Robert
How to compute the pressure in incompressible viscous flow with no-slip boundary
View Abstract Down
Penrose, Oliver
Statistical mechanics of nonlinear elasticity in a system of hard disks
View Abstract Down
Schryvers, Dominique (Nick)
Nano- and microstructures characterized by transmission electron microscopy
View Abstract Down
Sverak, Vladimir
Liouville theorems for the Navier-Stokes equations
View Abstract Down
Szekelyhidi, Laszlo
The h-principle in fluid mechanics
View Abstract Down
Tao, Terence
Global regularity of wave maps via harmonic map heat flow
View Abstract Down

Participants

Name Institution
Adams, Stefan University of Warwick
Antman, Stuart University of Maryland
Ball, Sir John University of Oxford
Bates, Peter Michigan State University
Beck, Margaret Heriot-Watt University
Bhattacharya, Kaushik California Institute of Technology
Bochkina, Natalia University of Edinburgh
Bourne, David University of Glasgow
Brenier, Yann CNRS Nice
Brown, Ken Heriot-Watt University
Burns, Martin University of Strathclyde
Calderer, Carme University of Minnesota
Capdeboscq, Yves University of Oxford
Carbery, Anthony University of Edinburgh
Carr, Jack Heriot-Watt University
Carstensen, Carsten Humboldt-Universität zu Berlin
Chenchiah, Isaac University of Bristol
Cherednichenko, Kirill University of Cardiff
Chlebik, Miroslav University of Sussex
Chmaj, Adam Warsaw University of Technology
Ciarlet, Philippe G. City University of Hong Kong
Conti, Sergio Universität Bonn
Coutand, Daniel Heriot-Watt University
Crooks, Elaine University of Swansea
Dacorogna, Bernard École Polytechnique Fédérale de Lausanne
Dafermos, Constantine Brown University
Davidson, Fordyce University of Dundee
Davies, Penny University of Strathclyde
DeSimone, Antonio Scuola Internazionale Superiore di Studi Avanzati
Domanski, Wlodzimierz Polish Academy of Sciences
Dondl, Patrick Durham University
Douglas, Robert Aberystwyth University
Duncan, Dugald Heriot-Watt University
Duran, Angel University of Valladolid
Eilbeck, Chris Heriot-Watt University
Esteban, Maria J. CEREMADE
Farkas, Jozsef University of Stirling
Francfort, Gilles A. Université Paris-Nord
Friesecke, Gero TU Munich
Grinfeld, Michael University of Strathclyde
Haskins, Mark Imperial College London
Henao, Duvan University of Oxford
Hoang, Viet Ha Nanyang Technological University
Hornig, Gunnar University of Dundee
Hornung, Peter University of Bath
Hsu, Cheng-Hsiung National Central University,Taiwan
Hu, Wen-Guei National Chiao Tung University
James, Richard University of Minnesota
Kadem, Abdelouahab University of Setif
Kalamajska, Agnieszka University of Warsaw
Karmakar, Biswajit Max Planck Institute
Khan, Abdul Rahim King Fahd University of Petroleum and Minerals
Kirchheim, Bernd University of Oxford
Knops, Robin Heriot-Watt University
Koch, Gabriel University of Chicago
Kohn, Robert V. New York University
Kokarev, Gerasim University of Edinburgh
Kontovourkis, Michalis Max Planck Institute
Koumatos, Konstantinos University of Oxford
Kristensen, Jan University of Oxford
Lacey, Andrew Heriot-Watt University
Leimkuhler, Ben University of Edinburgh
Lord, Gabriel Heriot-Watt University
Mahalov, Alex Arizona State University
Maitre, Emmanuel Université de Grenoble
Marohnic, Maroje University of Zagreb
Matthies, Karsten University of Bath
Melcher, Christof University of Oxford
Moser, Roger University of Bath
Muite, Benson University of Oxford
Müller, Stefan Max Planck Institute
Murat, François Université Pierre et Marie Curie (Paris VI)
Nesenenko, Sergiy Darmstadt University of Technology
Neukamm, Stefan TU München
Neygebauer, Igor National University of Rwanda
Niethammer, Barbara University of Bonn
Ortiz, Michael California Institute of Technology
Ortner, Christoph University of Warwick
Otto, Felix Universität Bonn
Pankratova, Iryna Narvik University College
Pego, Robert Carnegie Mellon University
Penrose, Oliver Heriot-Watt University
Petrache, Mircea Scuola Normale Superiore
Piatnitski, Andrey Narvik University College
Rekalo, Andrey Heriot-Watt University
Rule, David University of Edinburgh
Rynne, Bryan Heriot-Watt University
Sadowski, Witold University of Warwick
Schryvers, Dominique (Nick) University of Antwerp
Sengul, Yasemin University of Oxford
Seregin, Gregory University of Oxford
Serrano, Hélia Universidad de Castilla-La Mancha
Shargorodsky, Eugene King's College London
Shearer, Michael North Carolina State University
Singer, Michael University College London
Sivaloganathan, Jeyabal University of Bath
Slastikov, Valeriy University of Bristol
Slemrod, Marshall University of Wisconsin
Staubach, Wolfgang Heriot-Watt University
Stelzig, Philipp Emanuel TU München/Università di Trento
Strzelecki, Pawel University of Warsaw
Suli, Endre University of Oxford
Sverak, Vladimir University of Minnesota
Szekelyhidi, Laszlo Universität Bonn
Taheri, Ali University of Sussex
Tambaca, Josip University of Zagreb
Tambue, Antoine Heriot-Watt University
Tao, Terence University of California at Los Angeles
Toland, John Isaac Newton Institute for Mathematical Sciences
Tsering, Basang University of Oxford
Velcic, Igor University of Zagreb
Wagner, David University of Houston
Watson, Stephen University of Glasgow
Yang, Ting-Hui Tamkang University
Yang, Tzi-Sheng Tunghai University
Zarnescu, Arghir University of Sussex
Zhang, Kewei University of Swansea