FKT
4 January 2022 to 24 June 2022
Scientific Committee: Russel E. Caflisch (Courant-USA), Mihalis Dafermos (Cambridge), Dalibard Anne-Laure (Sorbonne Université-Paris), Mario Pulvirenti (Rome I), Sylvia Serfaty (Courant-USA), Endre Suli (Oxford), Eitan Tadmor (Maryland)
Kinetic theory dates back to Maxwell and Boltzmann and uses a statistical viewpoint to describe the dynamics of many-particle systems. Over the past decades, it has become an important area of pure and applied analysis, in particular for bridging microscopic and macroscopic descriptions of complex systems. On one hand, it is at the centre of fascinating developments in theoretical analysis of nonlinear PDEs, optimal transport, and metric geometry. On the other hand, numerical simulations of kinetic equations and modeling using a kinetic approach have also become ubiquitous in many science and engineering disciplines, due to the indispensable role of kinetic theory in the multiscale modeling hierarchy. Furthermore, kinetic theory has also been a cross-road of interactions with several areas of mathematical physics such as general relativity, plasma physics, and the quantum many-body problem. This programme aims to expand the knowledge in analysis, modelling, and numerics of kinetic theory and to foster the interactions between different communities.
From the theoretical analysis perspectives, we hope to address the following key questions: 1) Advance the mathematical study of Landau damping (i.e. phase mixing) and related effects in plasmas and similar models. These effects are known to be crucial to understanding how information is transferred to small scales in phase space in the kinetic theory of plasmas but much remains to be understood mathematically, especially in physically relevant settings such as those involving magnetic fields or collisions; 2) Advance the progress in many-particle limits such as the Boltzmann-Grad limit and the mean-field limit for long range interactions; 3) Investigate the invariant measures and relative entropy principles for particle descriptions; 4) Use the gradient flow approach to study spatially homogeneous kinetic equations; 5) Further develop the theory of nonlocal equations in general, such as the Boltzmann and the Landau equation.
From the modeling and numerical analysis perspectives, the following aspects will be explored: 1) Phase transitions arise in many applications of social sciences and math biology. We will leverage bifurcation theory, entropy methods, gradient flows, and probabilistic tools to study these phenomena. 2) Many problems in analysis of big data like clustering in graphs, ensemble Kalman filtering, and computational neuroscience models share certain commonalities: they are based on large networks of complicated dynamical systems for which methods of kinetic theory are applicable. 3) Solutions to kinetic equations possess many important physical properties/structures, e.g., positivity, entropy, gradient flows or hypocoercivity. We will advance the progress in development of structure-preserving numerical methods for multiscale kinetic equations, as well as the associated stability and convergence analysis. 4) Kinetic equations are high-dimensional, nonlinear and nonlocal. Development of fast and accurate methods for the Boltzmann and Vlasov-Landau equations still presents one of the central problems in kinetic simulations. We will explore both Eulerian and Lagrangian based methods and also some low rank representations. 5) Kinetic theory connects microscopic particle descriptions and macroscopic fluid descriptions. Benefiting from recent advances in scientific machine learning, we seek new tools to conduct model and dimension reduction as well as moment closure.
Fostering new collaborations and finding solutions to some of the open problems, conjectures, and applications suggested above is the main objective of the programme. We will bring together some of the best researchers working in the new frontiers of kinetic theory as well as the neighboring communities such as fluid mechanics, probability, computational science and other applied fields, such as plasma physics and multi-agent collective behavior, with whom new bridges are being built.
> Click here to see the content produced by Plus Magazine during the FKT programme
Click here to download the programme's final scientific report
Title | Year | Programme | |
---|---|---|---|
Steady states of an Elo-type rating model for players of varying strengthAuthors: Jo Evans, Bertram Düring, Marie-Therese Wolfram |
2021 | FKT | 20 October 2022 |
10 January 2022 to 14 January 2022
17 January 2022 to 18 January 2022
4 April 2022 to 8 April 2022
25 April 2022 to 29 April 2022
23 May 2022 to 27 May 2022
Tuesday 1st February 2022 | |||
---|---|---|---|
14:00 to 15:00 |
Maria Gualdani University of Texas at Austin |
Room 1 | |
Tuesday 8th February 2022 | |||
---|---|---|---|
14:00 to 14:45 |
Jo Evans University of Warwick |
Room 2 | |
14:50 to 15:35 |
Franca Hoffmann Rheinische Friedrich-Wilhelms-Universität Bonn |
Room 2 | |
Tuesday 15th February 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Karsten Matthies University of Bath |
Room 2 | |
Tuesday 22nd February 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Megan Griffin-Pickering Durham University |
Room 2 | |
14:50 to 15:35 |
Matias Gonzalo Delgadino University of Texas at Austin |
Room 2 | |
Wednesday 2nd March 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Avi Mayorcas University of Cambridge |
Room 2 |
Tuesday 8th March 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Numerical wave propagation aided by deep learning - Richard Tsai |
Room 2 | |
14:50 to 15:35 |
Avi Mayorcas University of Cambridge |
Room 2 |
Tuesday 15th March 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Rafael Bailo University of Oxford; Université Lille 1 |
Room 2 | |
14:50 to 15:35 |
James Mason University of Cambridge |
Room 2 | |
Wednesday 16th March 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Jack Coughlin University of Washington |
Room 2 | |
13:00 to 14:00 |
Elizabeth Carlson University of Victoria |
Room 2 | |
Tuesday 22nd March 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Havva Yoldas University of Vienna |
Room 2 | |
14:50 to 15:35 |
Calum Braham University of Oxford |
Room 2 | |
Tuesday 29th March 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Weiran Sun Simon Fraser University |
Room 2 | |
14:50 to 15:35 |
Marie-Therese Wolfram University of Warwick |
Room 2 | |
Tuesday 12th April 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Helene Hivert École Centrale de Lyon |
Room 2 | |
14:50 to 15:35 |
Mattia Zanella Università degli Studi di Pavia |
Room 2 | |
Wednesday 13th April 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Xiaochuan Yang Brunel University |
Room 2 | |
13:00 to 14:00 |
Pavan Pranjivan Mehta Brown University |
Room 2 | |
Tuesday 19th April 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Ruiwen Shu University of Maryland, College Park |
Room 2 | |
14:50 to 15:35 |
Helge Dietert CNRS (Centre national de la recherche scientifique) |
Room 2 | |
Wednesday 27th April 2022 | |||
---|---|---|---|
14:30 to 15:30 |
Pierre-Emmanuel Jabin Pennsylvania State University |
Room 1 | |
Tuesday 3rd May 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Samuel Stechmann University of Wisconsin-Madison |
Room 2 | |
14:50 to 15:35 |
Frank Ernesto Alvarez Borges Université Paris-Dauphine |
Room 2 | |
Wednesday 4th May 2022 | |||
---|---|---|---|
11:00 to 12:00 |
William Golding University of Texas at Austin |
Room 2 | |
13:00 to 14:00 |
Antoine Remond-Tiedrez University of Cambridge |
Room 2 | |
Tuesday 10th May 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Irene M. Gamba University of Texas at Austin |
Room 2 | |
14:50 to 15:35 |
Irene M. Gamba University of Texas at Austin |
Room 2 | |
Wednesday 11th May 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Xin Liu Weierstraß-Institut für Angewandte Analysis und Stochastik |
Room 2 | |
13:00 to 14:00 |
Noemi David Sorbonne Université; Università di Bologna |
Room 2 |
Tuesday 17th May 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Alain Blaustein Université Paul Sabatier Toulouse III |
Room 2 | |
14:50 to 15:35 |
Yingda Cheng Michigan State University |
Room 2 |
Wednesday 25th May 2022 | |||
---|---|---|---|
16:00 to 17:00 |
Irene M. Gamba University of Texas at Austin |
Room 1 |
Tuesday 31st May 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Sergio Simonella CNRS (Centre national de la recherche scientifique); ENS - Lyon |
Room 2 | |
14:50 to 15:35 |
Noemi David Sorbonne Université; Università di Bologna |
Room 2 |
Wednesday 1st June 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Daniel Han University of Manchester; University of Cambridge |
Room 2 | |
13:00 to 14:00 |
Vanja Wagner University of Zagreb |
Room 2 | |
Tuesday 7th June 2022 | |||
---|---|---|---|
13:30 to 14:15 |
Jacques Smulevici Sorbonne Université |
Room 2 | |
14:50 to 15:35 |
Nikita Simonov Université d'Evry-Val-d'Essonne |
Room 2 | |
Wednesday 8th June 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Jo Evans University of Warwick |
Room 2 | |
13:00 to 14:00 |
Akhilesh Kumar Verma University of Warwick |
Room 2 |
Tuesday 14th June 2022 | |||
---|---|---|---|
13:30 to 14:15 |
José Alfredo Cañizo Rincón Universidad de Granada |
Room 2 | |
14:50 to 15:35 |
Robert Pego Carnegie Mellon University |
Room 2 | |
Wednesday 15th June 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Daniel Boutros University of Cambridge |
Room 2 | |
13:00 to 14:00 |
Arran Fernandez Eastern Mediterranean University |
Room 2 |
Wednesday 22nd June 2022 | |||
---|---|---|---|
11:00 to 12:00 |
Santiago Benavides University of Warwick; Massachusetts Institute of Technology |
Room 2 | |
13:00 to 14:00 |
Oscar de Wit University of Cambridge |
Room 2 |
Subscribe for the latest updates on events and news
Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH United Kingdom
Tel: +44 1223 335999 Email: reception@newton.ac.uk
© 2023 Isaac Newton Institute for Mathematical Sciences. All Rights Reserved. Privacy Policy
INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
INI is especially important as a forum where early-career researchers meet senior colleagues and form networks that last a lifetime.
Here you can learn about all activities past, present and future, watch live seminars and submit your own proposals for research programmes.
Within this section of the website you should find all the information required to arrange and plan your visit to the Institute. If you have any further questions, or are unable to find the information you require, please get in touch with the relevant staff member or our Reception team via our contact pages.
INI and its programme participants produce a range of publications to communicate information about activities and events, publish research outcomes, and document case studies which are written for a non-technical audience. You will find access to them all in this section.
The Isaac Newton Institute aims to maximise the benefit of its scientific programmes to the UK mathematical science community in a variety of ways.
Whether spreading research opportunities through its network of correspondents, offering summer schools to early career researchers, or hosting public-facing lectures through events such as the Cambridge Festival, there is always a great deal of activity to catch up on.
Find out about all of these endeavours in this section of the site.
There are various ways to keep up-to-date with current events and happenings at the Isaac Newton Institute. As detailed via the menu links within this section, our output covers social media streams, news articles, a regular podcast series, an online newsletter, and more detailed documents produced throughout the year.
“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
For INI’s knowledge exchange arm, please see the Newton Gateway to Mathematics.
The Institute depends upon donations, as well as research grants, to support the world class research undertaken by participants in its programmes.
Fundraising activities are supported by a Development Board comprising leading figures in academia, industry and commerce.
Visit this section to learn more about how you could play a part in supporting INI’s groundbreaking research.
In this section you can find contact information, staff lists, maps and details of how to find INI’s main building in Cambridge.
Our administrative staff can help you with any queries regarding a prospective or planned visit. If you would like to discuss a proposed a research programme or other event, our senior management team will be happy to help.