Order and Randomness in Partial Differential Equations

August 30 - December 8, 2023

The program focuses on three separate, yet connected, areas: fluid motion, integrable systems and stochastic partial differential equations.

Generally, it’s impossible to solve nonlinear partial differential equations explicitly. However, certain nonlinear equations have remarkable properties which allow for explicit solutions or at least for the equations to be solved using only linear operations. These equations are called completely integrable and can be seen as generalisations of integrable systems in classical mechanics. Many examples of integrable systems appear specifically in the context of fluid mechanics and thus allows for a precise description of the fluid motion in certain cases. On the other hand, one of the hallmarks of fluid motions is turbulence, in which the fluid flow is chaotic, and one can only hope to get a good grasp by studying statistical properties of the solutions rather than individual solution trajectories.

The program will promote cross-fertilization between these different areas which will hopefully lead to new ideas and progress.

During the program, there will be two workshops with thematically focused talks:

September 11 – 15, 2023: Water Waves and Integrable Systems

Organizers: Jean-Claude Saut, Catherine Sulem and Erik Wahlén.

Dedicated to the memory of Thomas Kappeler.

September 4 – 8: Mini courses by Massimiliano Berti, SISSA and Patrick Gérard, Université Paris-Saclay. Dates and speakers for mini courses are preliminary.

November 27 – December 1, 2023: Stochastic Flows

Organizers: Helge Holden, Susanne Solem and José A. Carrillo.

November 20 – 24: Mini courses by José A. Carrillo, University of Oxford and Sergei Kuksin, IMJ-PRG.

Seminars

Participants

Name University Country Arrival and Departure
Thomas
Alazard
University: École Normale Supérieure Paris-Saclay City: France Arrival and Departure: -
Diego
Alonso Orán
University: University of La Laguna City: Spain Arrival and Departure: Nov 5 - Nov 12, 2023
Rafael
Bailo
University: University of Oxford City: United Kingdom Arrival and Departure: Oct 16 - Dec 8, 2023
Dario
Bambusi
University: University of Milan City: Italy Arrival and Departure: Sep 3 - Sep 15, 2023
Massimiliano
Berti
University: SISSA City: Italy Arrival and Departure: Sep 5 - Sep 27, 2023
Boris
Buffoni
University: Swiss Federal Institute of Technology Lausanne City: Switzerland Arrival and Departure: Sep 24 - Oct 1, 2023
Stefano
Böhmer
University: Lund University City: Sweden Arrival and Departure: Sep 25 - Oct 22, 2023
Nicolas
Camps
University: Université de Nantes City: France Arrival and Departure: Aug 30 - Oct 20, 2023
Jose A.
Carrillo
University: University of Oxford City: United Kingdom Arrival and Departure: Nov 19 - Dec 2, 2023
Christophe
Charlier
University: Lund University City: Sweden Arrival and Departure: Oct 2 - Oct 5, 2023
Thomas
Christiansen
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: Nov 12 - Nov 19, 2023
Andrea
Clini
University: University of Oxford City: United Kingdom Arrival and Departure: Nov 27 - Dec 1, 2023
Rinaldo
Colombo
University: University of Brescia City: Italy Arrival and Departure: -
Adrian
Constantin
University: University of Vienna City: Austria Arrival and Departure: Aug 30 - Sep 15, 2023
Quentin
Cormier
University: Inria Saclay Centre City: France Arrival and Departure: Nov 20 - Dec 1, 2023
Arnaud
Debussche
University: ENS Rennes City: France Arrival and Departure: Oct 2 - Oct 22, 2023
Mats
Ehrnström
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: Sep 3 - Sep 29, 2023
Alberto
Enciso
University: Instituto de Ciencias Matemáticas, ICMAT City: Spain Arrival and Departure: Sep 11 - Sep 15, 2023
Daniel
Eriksson
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Aug 30 - Dec 8, 2023
Luca
Galimberti
University: King's College London City: United Kingdom Arrival and Departure: Nov 26 - Dec 8, 2023
Sondre Tesdal
Galtung
University: NTNU – Norwegian University of Science and Technology City: Norway Arrival and Departure: Aug 30 - Nov 30, 2023
Louise
Gassot
University: University of Basel City: Switzerland Arrival and Departure: Aug 30 - Oct 20, 2023
Patrick
Gérard
University: University of Paris-Saclay City: France Arrival and Departure: Aug 30 - Sep 15, 2023
Pierre
Germain
University: Imperial College London City: United Kingdom Arrival and Departure: Sep 4 - Sep 10, 2023
Patricia
Goncalves (Online)
University: Instituto Superior Técnico City: Portugal Arrival and Departure: -
Mark
Groves
University: Saarland University City: Germany Arrival and Departure: Sep 1 - Oct 31, 2023
Nastasia
Grubic
University: ICMAT City: Spain Arrival and Departure: Oct 15 - Oct 27, 2023
Katrin
Grunert
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: Aug 30, Oct 29 - Sep 30, Dec 2, 2023
Zaher
Hani
University: University of Michigan City: United States Arrival and Departure: Nov 19 - Dec 8, 2023
Mariana
Haragus
University: Université de Franche-Comté City: France Arrival and Departure: Sep 3 - Sep 16, 2023
Susanna
Haziot
University: Brown University City: United States Arrival and Departure: Aug 31 - Dec 8, 2023
Bastian
Hilder
University: Lund University City: Sweden Arrival and Departure: Aug 30 - Dec 8, 2023
Helge
Holden (Organizer)
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: Aug 30 - Dec 8, 2023
Alexandra
Holzinger
University: TU Wien City: Austria Arrival and Departure: Nov 20 - Dec 1, 2023
Vera Mikyoung
Hur
University: University of Illinois Urbana-Champaign City: United States Arrival and Departure: Sep 17 - Sep 24, 2023
Espen
Jakobsen
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: Sep 4, Nov 19 - Sep 15, Dec 1, 2023
Jonas
Jansen
University: Lund University City: Sweden Arrival and Departure: Oct 2 - Oct 21, 2023
Henrik
Kalisch
University: University of Bergen City: Norway Arrival and Departure: Aug 30 - Sep 30, 2023
Kenneth
H. Karlsen
University: University of Oslo City: Norway Arrival and Departure: Nov 26 - Nov 29, 2023
Boris
Khesin
University: University of Toronto City: Canada Arrival and Departure: Aug 27, Nov 12 - Sep 17, Dec 8, 2023
Sergei
Kuksin
University: Institut de Mathématiques de Jussieu-Paris Rive Gauche City: France Arrival and Departure: Nov 19 - Nov 29, 2023
Christophe
Lacave
University: Université Grenoble Alpes City: France Arrival and Departure: Oct 12 - Oct 19, 2023
David
Lannes
University: Institut de Mathématiques de Bordeaux, CNRS City: France Arrival and Departure: Sep 4 - Sep 22, 2023
Jonatan
Lenells (Organizer)
University: KTH Royal Institute of Technology City: Sweden Arrival and Departure: Aug 30 - Dec 8, 2023
Wei
Lian
University: Lund University City: Sweden Arrival and Departure: Sep 17 - Nov 18, 2023
Evgeniy
Lokharu
University: Lund University City: Sweden Arrival and Departure: Sep 16 - Sep 23, 2023
Evan
Miller
University: University of British Columbia City: Canada Arrival and Departure: Aug 30 - Dec 8, 2023
Eva
Miranda (Online)
University: Universitat Politècnica de Catalunya City: Spain Arrival and Departure: -
Klas
Modin
University: Chalmers University of Technology and University of Gothenburg City: Sweden Arrival and Departure: Nov 20 - Dec 1, 2023
Andrea
Nahmod
University: University of Massachusetts Amherst City: United States Arrival and Departure: Nov 19 - Dec 3, 2023
Dag
Nilsson
University: Lund University City: Sweden Arrival and Departure: Sep 16 - Oct 1, 2023
Tadahiro
Oh
University: The University of Edinburgh City: United Kingdom Arrival and Departure: Sep 3 - Sep 16, 2023
Peter
Pang
University: University of Oslo City: Norway Arrival and Departure: Nov 19 - Dec 3, 2023
Stefano
Pasquali
University: Université Paris-Saclay City: France Arrival and Departure: Sep 17 - Oct 31, 2023
Daniel
Peralta-Salas
University: ICMAT City: Spain Arrival and Departure: Sep 18 - Sep 22, 2023
Didier
Pilod
University: University of Bergen City: Norway Arrival and Departure: Aug 30 - Sep 16, 2023
Nils Henrik
Riesbro
University: University of Oslo City: Norway Arrival and Departure: Sep 4 - Dec 1, 2023
Christian
Rohde
University: University of Stuttgart City: Germany Arrival and Departure: Dec 2 - Dec 8, 2023
Pierre
Roux
University: University of Oxford City: United Kingdom Arrival and Departure: Oct 16 - Dec 8, 2023
Jean-Claude
Saut
University: Université Paris-Saclay City: France Arrival and Departure: Sep 10 - Sep 15, 2023
Guido
Schneider
University: IADM, University Stuttgart City: Germany Arrival and Departure: Oct 2 - Oct 13, 2023
Sebastian
Schwarzacher
University: Uppsala University City: Sweden Arrival and Departure: Oct 1 - Oct 15, 2023
Susanne
Solem
University: Norwegian University of Life Sciences City: Norway Arrival and Departure: Oct 1, Nov 12 - Oct 21, Dec 2, 2023
Halvard Olsen
Storbugt
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: Aug 30 - Dec 8, 2023
Catherine
Sulem (Organizer)
University: University of Toronto City: Canada Arrival and Departure: Aug 31, Nov 12 - Sep 15, Nov 30, 2023
Douglas
Svensson Seth
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: Aug 30 - Dec 8, 2023
Giang
To
University: Lund University City: Sweden Arrival and Departure: Aug 30 - Oct 15, 2023
Kristoffer
Varholm
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: Aug 30 - Dec 8, 2023
Juan
Velázquez
University: University of Bonn City: Germany Arrival and Departure: Nov 5 - Nov 11, 2023
Erik
Wahlén (Organizer)
University: Lund University City: Sweden Arrival and Departure: Aug 30 - Dec 8, 2023
Samuel
Walsh
University: University of Missouri City: United States Arrival and Departure: Sep 17 - Sep 23, 2023
Jörg
Weber
University: Lund University City: Sweden Arrival and Departure: Aug 30 - Oct 15, 2023
Miles
Wheeler
University: University of Bath City: United Kingdom Arrival and Departure: Sep 16 - Sep 23, 2023