Convex Integration and Nonlinear Partial Differential Equations

Convex integration and nonlinear partial differential equations

ICMS, The Bayes Centre, 47 Potterrow, Edinburgh EH8 9BT

13-17 July 2020

Scientific Advisory Committee

Gui-Qiang Chen, University of Oxford
Marshall Slemrod, University of Wisconsin
Laszlo Szekelyhidi, University of Leipzig

Local Organising Committee

Heiko Gimperlein, Heriot-Watt University
Robin Knops, Heriot-Watt University
Beatrice Pelloni, Heriot-Watt University

Significant advances in the field of convex integration will be explained and discussed by leading specialists involved in the subject's resurgence. Convex integration originated with the Nash-Kuiper (1954/55) isometric embedding theorem and is central to Gromov's h-principle (1986). The highly irregular (wrinkled) solutions which are a prominent feature have recently found application in other important contexts. Long standing conjectures such as that by Onsager on turbulence have been successfully resolved. Connexions have been established with several nonlinear partial differential equations including those for fluid and solid continuum mechanics. Numerical simulation of solutions has enhanced intuition and illustrated geometrical and physical properties. Challenging open problems remain, however and offer a rich potential for future research. These topics form the main themes of the Workshop.

The workshop, which will include of an expository course by Clay lecturer De Lellis, to supplement the research presentations, is open to all and especially those from the UK and international communities who wish to either acquire or expand knowledge of this intriguing theory and its striking applications.

Invited Speakers

Vincent Borelli, University of Lyon, (Public Lecture)

Camillo De Lellis, IAS Princeton, (Clay Lecturer, expository course)


Luca Biferale, University of Rome Vergata,

Elisabetta Chiodaroli, University of Pisa,

Maria Colombo, EPFL, Lausanne,

Diego Cordoba, Instituto de Ciencias Matematicas, Madrid,

Daniel Faraco, Universidad Autonoma de Madrid, Madrid,

Eduard Feireisl, Czech Academy of Sciences,

Philip Isett, University of Texas,

Filip Rindler, University of Warwick,

Angkana Rueland, Max Planck Institute, Leipzig,

Roman Shvydkoy, University of Illinois, Chicago,

Boris Thibert, University of Grenoble Alpes,

Edriss Titi, University of Texas A and M,

Vlad Vicol, Courant Institute, New York,

Barbara Zwicknagl, Technical University, Berlin.

 

This workshop is organised in partnership with the Clay Mathematics Institute.

ARRANGEMENTS

ICMS does NOT use third parties to arrange accommodation.  If you are approached by a third party (e.g. Business Travel Management) asking for booking details, please ignore.  If you have any concerns please contact ICMS.

Public applications for the workshop are now open. To register, please complete this application form. Contributed talks are also invited, for which limited financial support may be available. Details are requested on the application form, with a deadline of 15th January.

January 2020 - There will be an open call for contributed talks. Acceptance will be notified within 6 weeks of the closing date

If you have any questions in the meantime, please contact, info@icms.org.uk

FINANCIAL SUPPORT

There might be limited financial support available for additional participants, especially postgraduate students and early career researchers.. Please indicate on the application form if you wish to apply for these funds. Financial offers will be confirmed separately.

This webpage will be updated periodically.

VENUE

The workshop will be held at ICMS, The Bayes Centre, 47 Potterrow, Edinburgh EH8 9BT. Further infomation on the venue/facilities is available on this webpage.