Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022
FKT
4 January 2022 to 24 June 2022
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Programme theme
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 download the programme's final scientific report
FKT programme: interview with organisers Jose Carrillo, Jingwei Hu and Jacob Bedrossian
Preprints
| Title | Year | Programme |
|---|---|---|
Steady states of an Elo-type rating model for players of varying strengthAuthors: Bertram Düring, Jo Evans, Marie-Therese Wolfram |
2021 | FKT |
Workshops
Frontiers in analysis of kinetic equations
10 January 2022 to 14 January 2022
Kinetic Theory: old and new tutorial
17 January 2022 to 18 January 2022
Frontiers in the interplay between probability and kinetic theory
4 April 2022 to 8 April 2022
Frontiers in kinetic equations for plasmas and collective behaviour
25 April 2022 to 29 April 2022
Frontiers in numerical analysis of kinetic equations
23 May 2022 to 27 May 2022
Seminars
| 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 | |
Organisers
- Jacob Bedrossian University of Maryland, College Park
- Jose A Carrillo Imperial College London
- Jingwei Hu University of Washington
- Clément Mouhot University of Cambridge
Participants
- Stephanie Abo University of Waterloo
- Giacomo Albi Università degli Studi di Verona
- Ricardo Alonso Texas A & M University in Qatar
- Frank Ernesto Alvarez Borges Université Paris-Dauphine
- Anton Arnold Technische Universität Wien
- Rafael Bailo University of Oxford; Université Lille 1
- Weizhu Bao National University of Singapore
- Claude Bardos Université Paris 7 - Denis-Diderot
- Jacob Bedrossian University of Maryland, College Park
- Nicolas Besse Observatoire de la Côte d' Azur
- Alexander Bobylev Keldysh Institute of Applied Mathematics
- Emeric Bouin Université Paris-Dauphine
- Daniel Boutros University of Cambridge
- Maria Bruna University of Cambridge
- Luis Caffarelli University of Texas at Austin
- Russel E. Caflisch New York University
- Eric Carlen Rutgers, The State University of New Jersey
- Jose A Carrillo University of Oxford
- José Alfredo Cañizo Rincón Universidad de Granada
- Alina Chertock North Carolina State University
- Young-Pil Choi Yonsei University
- Michele Coti Zelati Imperial College London
- Jack Coughlin University of Washington
- Katy Craig University of California, Santa Barbara
- Mihalis Dafermos Acclarogen Limited
- Wolfgang Dahmen University of South Carolina
- Anne-Laure Dalibard Sorbonne Université
- Sara Daneri Gran Sasso Science Institute, L'Aquila
- Noemi David Sorbonne Université; Università di Bologna
- Pierre Degond CNRS (Centre national de la recherche scientifique)
- Matias Gonzalo Delgadino University of Texas at Austin
- Laurent Desvillettes Université de Paris
- Helge Dietert CNRS (Centre national de la recherche scientifique)
- Giacomo Dimarco Università degli Studi di Ferrara
- Jean-Daniel Djida African Institute for Mathematical Sciences (AIMS)
- Jean Dolbeault CNRS & Université Paris-Dauphine
- Renjun Duan Chinese University of Hong Kong
- Mitia Duerinckx Université Paris Saclay; Université Libre de Bruxelles
- Bertram Düring University of Warwick
- Amit Einav Durham University
- Miguel Escobedo Universidad del País Vasco
- Jo Evans University of Warwick
- Erwan Faou INRIA Rennes - Bretagne Atlantique
- Francis Filbet Université de Toulouse
- Irene M. Gamba University of Texas at Austin
- Yuan Gao Purdue University
- Pierre Germain New York University
- Heiko Gimperlein Heriot-Watt University; Leopold-Franzens Universtät Innsbruck
- William Golding University of Texas at Austin
- Francois Golse Centre De Mathématiques Laurent Schwartz (CMLS)
- Thierry Goudon INRIA Lille - Nord Europe Research Centre; INRIA Sophia Antipolis
- Maria Gualdani University of Texas at Austin
- RIshabh Gvalani Max-Planck-Institut für Mathematik, Leipzig
- Mahir Hadzic University College London
- Cory Hauck Oak Ridge National Laboratory
- Frederic Herau Université de Nantes
- Franca Hoffmann Rheinische Friedrich-Wilhelms-Universität Bonn
- Jingwei Hu University of Washington
- Mikaela Iacobelli ETH Zürich
- Cyril Imbert CNRS - Ecole Normale Superieure Paris
- Pierre-Emmanuel Jabin Pennsylvania State University
- Shi Jin Shanghai Jiao Tong University
- Ansgar Juengel Technische Universität Wien
- Serafim Kalliadasis Imperial College London
- Axel Klar Technische Universität Kaiserslautern
- Yury Korolev University of Cambridge
- Lisa Maria Kreusser University of Bath
- Anita Layton University of Waterloo
- Joel Lebowitz Rutgers, The State University of New Jersey
- Qin Li University of Wisconsin-Madison
- Tai-Ping Liu Stanford University; Academia Sinica
- Jian-Guo Liu Duke University
- Amélie Justine Loher University of Cambridge
- Silvia Lorenzani Politecnico di Milano
- Jani Lukkarinen University of Helsinki
- Li-Shi Luo Old Dominion University; Beijing Computational Science Research Center
- Simona Mancini Université d'Orléans
- Karsten Matthies University of Bath
- Avi Mayorcas University of Cambridge
- Angeliki Menegaki IHES
- Sara Merino Aceituno University of Vienna
- Stéphane Mischler CNRS & Université Paris-Dauphine
- Clément Mouhot University of Cambridge
- Alessia Nota University of L'Aquila
- Lorenzo Pareschi Università degli Studi di Ferrara
- Robert Pego Carnegie Mellon University
- Benoit Perthame Sorbonne Université
- Diane Peurichard Vienna University of Technology; Université Paul Sabatier Toulouse III
- Irina Potapenko Keldysh Institute of Applied Mathematics
- Mario Pulvirenti University of Rome La Sapienza; Università degli Studi di Roma La Sapienza
- Alejandro Ramos lora Universidad de Granada
- Thomas Rey Université Lille 1; INRIA Lille - Nord Europe Research Centre
- José Rodrigo University of Warwick
- Pierre Roux University of Oxford
- Chiara Saffirio Universität Basel
- Lucia Scardia Heriot-Watt University
- Christian Schmeiser Universität Wien
- Markus Schmidtchen Technische Universität Dresden
- Carola-Bibiane Schönlieb University of Cambridge; Cambridge Mathematics of Information in Healthcare
- Ruiwen Shu University of Oxford
- Luis Silvestre University of Chicago
- Sergio Simonella CNRS (Centre national de la recherche scientifique); ENS - Lyon
- Jacques Smulevici Sorbonne Université
- Susanne Solem Norwegian University of Life Sciences (UMB)
- Samuel Stechmann University of Wisconsin-Madison
- Robert Strain University of Pennsylvania
- Weiran Sun Simon Fraser University
- Endre Süli University of Oxford
- Eitan Tadmor University of Maryland, College Park
- Maja Taskovic Emory University
- Martin Taylor Imperial College London
- Florian Theil University of Warwick
- Li Wang University of Minnesota
- Zhenfu Wang Peking University
- Bernt Wennberg Chalmers University of Technology
- Raphael Winter Université Claude Bernard Lyon 1; ENS - Lyon
- Marie-Therese Wolfram University of Warwick
- Jeremy Wu University of Oxford
- Yunan Yang ETH Zürich
- Tong Yang City University of Hong Kong
- Havva Yoldas University of Vienna
- Ewelina Zatorska Imperial College London
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