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,

Diego Cordoba, Instituto de Ciencias Matematicas, Madrid,

Daniel Faraco, Universidad Autonoma de Madrid, Madrid,

Eduard Feireisl, Czech Academy of Sciences,

Martina Hofmanova, Bielefeld University,

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.

Participants for this workshop, may find the follow workshop also of interest -


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Public applications for the workshop are now open. Please note applications for funding and contributed talks have now closed, if you would still like to register for this workshop please fill in this form.

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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.