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:
- mapping new frontiers of research
- 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,
- 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 June09:00-09:30 | 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 |
19:00-22:30 | Evening 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 | |
Bhattacharya, Kaushik | |
Electronic structure and macroscopic properties of solids | |
View Abstract | |
Brenier, Yann | |
Convection, magnetic relaxation and optimal transport. | |
View Abstract | |
Calderer, Carme | |
Nonlinear elasticity and liquid crystals in biological and biomedical application | |
View Abstract | |
Carstensen, Carsten | |
Computational challenges in the calculus of variations | |
View Abstract | |
Ciarlet, Philippe G. | |
Intrinsic elasticity | |
View Abstract | |
Conti, Sergio | |
Patterns in thin elastic sheets | |
View Abstract | |
Dacorogna, Bernard | |
On the pullback equation | |
View Abstract | |
Dafermos, Constantine | |
Elastodynamics and John Ball | |
View Abstract | |
DeSimone, Antonio | |
Excellent swimmers | |
View Abstract | |
Esteban, Maria J. | |
Critical magnetic field for the Dirac-Coulomb model | |
View Abstract | |
Francfort, Gilles A. | |
Evolution and approximation in brittle fracture | |
View Abstract | |
Friesecke, Gero | |
A mathematical picture of basic aspects of the periodic table | |
View Abstract | |
Kohn, Robert V. | |
Cloaking by Change of Variables | |
View Abstract | |
Murat, François | |
A priori estimate and existence for elliptic problems with subquadratic gradient dependent terms | |
View Abstract | |
Ortiz, Michael | |
Minimum principles for characterizing the trajectories and microstructural evolution of dissipative systems | |
View Abstract | |
Pego, Robert | |
How to compute the pressure in incompressible viscous flow with no-slip boundary | |
View Abstract | |
Penrose, Oliver | |
Statistical mechanics of nonlinear elasticity in a system of hard disks | |
View Abstract | |
Schryvers, Dominique (Nick) | |
Nano- and microstructures characterized by transmission electron microscopy | |
View Abstract | |
Sverak, Vladimir | |
Liouville theorems for the Navier-Stokes equations | |
View Abstract | |
Szekelyhidi, Laszlo | |
The h-principle in fluid mechanics | |
View Abstract | |
Tao, Terence | |
Global regularity of wave maps via harmonic map heat flow | |
View Abstract |
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 | Ecole Polytechnique |
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 | Universität Leipzig |
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 |