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 world 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 to 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 however, remain and offer a rich potential for future research. These topics form the main themes of the Workshop.

The workshop, which will consist of an expository course 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.

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


This webpage will be updated periodically.

September 2019 - Invited Speakers, who will be asked (via email) to register, will have accomodation arranged by the ICMS.

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.

October 2019 - A Public Application Form will open. If you wish to attend the workshop you will be required to complete the application form. If you have any questions in the meantime, please contact,

January 2020 - There will be an open call for contributed talks. Acceptance will be notified within 6 weeks of the closing date (15 January 2020)

Financial Support - There might be limited financial support available for accommodation and lunches for additional participants. Please indicate on the application form if you wish to apply for these funds. Financial offers will be confirmed separately.


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.