Time Schedule

Abstracts

Participants

Videos (after the event)

RESEARCH SCHOOL / ECOLE DE RECHERCHE
​
Kinetic Theory
Théorie Cinétique

14 - 18 November 2022

Scientific Committee
Comité scientifique

Vincent Calvez (CNRS, Université Lyon I)
José A. Cañizo (University of Granada)
Sara Merino-Aceituno (University of Vienna)
Benoît Perthame (Sorbonne Université)
Marie-Thérèse Wolfram (University of Warwick)

Organizing Committee
Comité d'organisation

José Antonio Carrillo (University of Oxford)
Rishabh Gvalani (Max Planck Institute, Leipzig)
Markus Schmidtchen (Technical University Dresten)
Havva Yoldaş (University of Vienna)

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Description

One of the great mathematical achievements of the late 19th century is the description of the evolution of thermodynamical systems such as gases or fluids by L. Boltzmann. Since then kinetic theory has become a branch of applied and pure mathematics in its own right. While all kinetic equations have in common that they describe the evolution of a phase-space density, nowadays, their applications range from fluid dynamics, plasma physics, biology, to even socio-economical modelling. Many fruitful interactions between these different fields and mathematics as well as mathematical advances not only led to a better understanding of the known models but also gave rise to new questions and challenges.
​The purpose of this CIRM Research School is manifold: we want to provide participants, in particular the early career researchers, with the chance to learn how the field of kinetic theory has emerged and how it hase volved over time. In addition we envisage that all participants get up to speed with the current theory and are presented with cutting edge techniques and the current challenges in the field.

L’un des grands triomphes mathématiques de la fin du XIXe siècle est la description de l’évolution des systèmes thermodynamiques tels que les gaz ou les fluides par L. Boltzmann. Depuis lors, la théorie cinétique est devenue une branche des mathématiques appliquées et pures à part entière. Si toutes les équations cinétiques ont en commun de décrire l’évolution de la densité dans le phase space, de nos jours, leurs applications comprennent la dynamique des fluides, la physique des plasmas, la biologie et la modélisation socio-économique. De nombreuses interactions fructueuses entre ces différents domaines et les mathématiques, ainsi que les progrès des mathématiques, ont permis de mieux comprendre les modèles connus, mais elles ont également soulevé des nouvelles questions et de nouveaux challenges.
​Les objectifs de cette Research School du CIRM sont : nous voulons offrir aux participants, en particulier aux jeunes chercheurs, la possibilité d’apprendre comment le domaine de la théorie cinétique est apparu et comment il a évolué au fil du temps. En outre, nous envisageons que tous les participants se familiarisent avec la théorie actuelle et se voient présenter les techniques de pointe et les défis actuels dans ce domaine.

Lectures

Jacob Bedrosian (University of Maryland)
Marienne Bessemoulin-Chatard (Université de Nantes)
Pierre Gabriel (Université de Versailles Saint-Quentin-en-Yvelines)
Mikaela Iacobelli (ETH Zurich)
Stéphane Mischler (Université Paris Dauphine)

Speakers

Rafael Bailo Sanchez (Imperial College London)
Frederique Charles (Sorbonne Université)
Antonio Esposito (University of Owford)
Josephine Evans (University of Warwick)
Marina Ferreira (University of Helsinki)
Megan Griffin-Pickering (Durham University)
Hélène Hivert (École Centrale de Lyon)
Richard Höfer (Université de Bordeaux)
Valeria Iorio (University of L'Aquila)
Angeliki Menegaki (University of Cambridge)
Sergio Simonella (ENS de Lyon, CNRS)
Arianne Trescases (Université Toulouse III - Paul Sabatier)
Nicolas Torres (Sorbonne Université)
Raphael Winter (ENS Lyon)
Jeremy Wu (University of Oxford)
Claudia Wytrzens (University of Vienna)

SPONSORS

Advanced Grant ”Nonlocal Partial Differential Equations for Complex
Particle Dynamics: Phase Transitions, Patterns and Synchronization” under
the European Union’s Horizon 2020 research and innovation programme
(grant agreement No. 883363)