Frontiers in kinetic equations for plasmas and collective behaviour

Workshop theme

Plasma physics is one of the most classical applications of kinetic theory. Traditionally, the Vlasov-Maxwell and the Vlasov-Poisson-Landau equations are the central models, but real-world plasmas can often involve other physical effects that are difficult to model. Moreover, even for the traditional models, the development and theory of efficient numerical methods for these equations in realistic physical problems is still challenging. Collective behavior models have been ubiquitous in applications of kinetic approaches in mathematical biology: computational neuroscience, tissue remodelling, growth-fragmentation models, swarming and others. Finally, similar ideas in consensus or alignment models in swarming have recently been used to develop alternative methods to stochastic gradient descent in global optimization, sampling and data science. These three applications have in common basic tools of kinetic theory such as mean-field limits, gradient flows, hydrodynamic derivations, and numerical approaches. The cross pollination of ideas between classical and modern applications of kinetic theory will be specifically encouraged during this workshop.

A Rothschild lecture from Pierre-Emmanuel Jabin will be taking place on Wednesday 27^th April at 14:30. Please see details here

Speakers list:

Maria Gualdani (University of Texas at Austin)
Jeremy Wu (University of Oxford)
Alexander Bobylev (Keldysh Institute of Applied Mathematics)
Irina Potapenko (Keldysh Institute of Applied Mathematics)
Pierre Degond (CNRS (Centre national de la recherche scientifique))
Susanne Solem (Norwegian University of Life Sciences (UMB))
Benoit Perthame (Sorbonne Université)
Sara Merino (University of Vienna)
Ewelina Zatorska (Imperial College London)
Eitan Tadmor (University of Maryland, College Park)
Christian Schmeiser (University of Vienna)
Marie Therese Wolfram (University of Warwick)
Antoine Cerfon (Courant Institute of Mathematical Sciences)
Luis Chacon (Los Alamos National Laboratory)
Eric Sonnendrucker (Max Planck Institute for Plasma Physics)
Freddy Bouchet (ENS - Lyon)
Pierre Roux (University of Oxford)
Maria J. Caceres (Universidad de Granada)
Seung-Yeal Ha (Seoul National University)
Anna Korba (ENSAE (École Nationale de la Statistique et de l'Administration))
Claudia Totzeck (Bergische Universität Wuppertal)
Oliver Tse (Technische Universität Eindhoven)
Martin Campos-Pinto9Max Planck Institute for Plasma Physics)
Lukas Einkemmer (Universität Innsbruck)
Urbain Vaes (INRIA)

Applications for this workshop are now closed

Fees

Registration Only

Registration Package: £208
Student Registration Package: £158

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Formal Dinner Only

Formal Dinner: £55

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.

Please see the Hotels Combined website for a list of local hotels and guesthouses.

Meals

Lunch Lunch timings and location will be confirmed with timetable.

Evening Meal Participants are free to make their own arrangements for dinner.

Formal Dinner The Formal Dinner location and date is to be confirmed.

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

Timetable

Monday 25th April 2022
09:55 to 10:00	Christie Marr Isaac Newton Institute Welcome Talk	Room 1
10:00 to 11:00	Antoine Cerfon Courant Institute of Mathematical Sciences; New York University Chair: Jingwei Hu, Moderator: Jeremy Wu Adaptive sparse grids to reduce noise in numerical simulations of kinetic plasmas	Room 1
11:15 to 12:15	Martin Campos-Pinto Max Planck Institute for Plasma Physics Chair: Jingwei Hu, Moderator: Jeremy Wu A general framework for structure-preserving particle approximations to Vlasov-Maxwell equations	Room 1
12:15 to 13:15	Eric Sonnendrucker Max Planck Institute for Plasma Physics; Munich University of Technology Chair: Jingwei Hu, Moderator: Jeremy Wu Hamiltonian models in plasma physics and their discretization	Room 1
14:30 to 15:30	Freddy Bouchet ENS - Lyon; CNRS (Centre national de la recherche scientifique) Chair: Jingwei Hu, Moderator: Jeremy Wu Path large deviations for kinetic theories: beyond the Boltzmann, the Landau, and the Balescu—Lenard—Guernsey kinetic equations	Room 1
16:00 to 17:00	Lukas Einkemmer Universität Innsbruck Chair: Jingwei Hu, Moderator: Jeremy Wu Solving kinetic Alfvén waves using dynamical low-rank approximation	Room 1

Tuesday 26th April 2022
09:00 to 10:00	Oliver Tse Technische Universität Eindhoven Chair: Jacob Bedrossian, Moderator: Raphael Winter Quantified overdamped limit for Kinetic Vlasov-Fokker-Planck equations	Room 1
10:00 to 11:00	Alexander Bobylev Keldysh Institute of Applied Mathematics Chair: Jacob Bedrossian, Moderator: Raphael Winter On solutions of the Vlasov-Poisson-Landau equations for slowly varying in space initial data	Room 1
11:15 to 12:15	Christian Schmeiser Universität Wien Chair: Jacob Bedrossian, Moderator: Raphael Winter On two models for non-instantaneous binary alignment collisions	Room 1
12:15 to 13:15	Maria Gualdani University of Texas at Austin Chair: Jacob Bedrossian, Moderator: Raphael Winter (Non) Blow-up mechanisms in the Landau-Coulomb equation	Room 1
14:30 to 15:30	Jeremy Wu University of Oxford Chair: Jacob Bedrossian, Moderator: Raphael Winter Boltzmann to Landau from the Gradient Flow Perspective	Room 1
16:00 to 17:00	Luis Chacon Los Alamos National Laboratory Chair: Jacob Bedrossian, Moderator: Raphael Winter A 2D-2P multiscale semi-Lagrangian algorithm for fast electron transport in the relativistic Vlasov-Fokker-Planck equation	Room 1

Wednesday 27th April 2022
09:00 to 10:00	Benoit Perthame Sorbonne Université Chair: Sara Merino Aceituno, Moderator: Pierre Roux Bacterial movement by run and tumble: models, patterns, pathways, scales	Room 1
10:00 to 11:00	Susanne Solem Norwegian University of Life Sciences (UMB) Chair: Sara Merino Aceituno, Moderator: Pierre Roux A system of PDEs modelling noisy grid cells	Room 1
11:15 to 12:15	Seung-Yeal Ha Seoul National University Chair: Sara Merino Aceituno, Moderator: Pierre Roux Emergent dynamics of the second-order nonlinear consensus model with bonding feedback controls	Room 1
12:15 to 13:15	Free Afternoon	Room 1

Thursday 28th April 2022
09:00 to 10:00	Pierre Degond CNRS (Centre national de la recherche scientifique) Chair: Weiran Sun, Moderator: Havva Yoldas Interplay between geometry and topology in models of collective dynamics	Room 1
10:00 to 11:00	Sara Merino Aceituno University of Vienna Chair: Weiran Sun, Moderator: Havva Yoldas Cauchy theory for general Vicsek models in collective dynamics and mean-field limit approximations	Room 1
11:15 to 12:15	Ewelina Zatorska Imperial College London Chair: Weiran Sun, Moderator: Havva Yoldas Measure-valued solutions to the generalized Aw-Rascle system	Room 1
12:15 to 13:15	Eitan Tadmor University of Maryland, College Park Chair: Weiran Sun, Moderator: Havva Yoldas Hydrodynamic Alignment with Pressure	Room 1
14:30 to 15:30	Pierre Roux University of Oxford Chair: Weiran Sun, Moderator: Havva Yoldas Nonlinear non-local Fokker-Planck equations modelling networks of integrate and fire neurons at the mesoscopic scale	Room 1
16:00 to 17:00	María Cáceres Universidad de Granada Chair: Weiran Sun, Moderator: Havva Yoldas Some PDE models for neural networks. The blow-up phenomenon for NNLIF models	Room 1

Friday 29th April 2022
09:00 to 10:00	Anna Korba ENSAE (École Nationale de la Statistique et de l'Administration) Chair: Jose Carrillo, Moderator: Bertram During Sampling with kernelized Wasserstein gradient flows	Room 1
10:00 to 11:00	Claudia Totzeck Bergische Universität Wuppertal Chair: Jose Carrillo, Moderator: Bertram During Consensus-based optimization	Room 1
11:15 to 12:15	Marie-Therese Wolfram University of Warwick Chair: Jose Carrillo, Moderator: Bertram During Ensemble Inference Methods for Models with Noisy and Expensive Likelihoods	Room 1
12:15 to 13:15	Urbain Vaes INRIA; INRIA Paris - Rocquencourt Chair: Jose Carrillo, Moderator: Bertram During Consensus-based sampling	Room 1

Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022

Frontiers in kinetic equations for plasmas and collective behaviour

Organisers

Jacob Bedrossian University of Maryland, College Park
Jingwei Hu University of Washington

Speakers

Alexander Bobylev Keldysh Institute of Applied Mathematics
Freddy Bouchet ENS - Lyon; CNRS (Centre national de la recherche scientifique)
Martin Campos-Pinto Max Planck Institute for Plasma Physics
Antoine Cerfon Courant Institute of Mathematical Sciences; New York University
Luis Chacon Los Alamos National Laboratory
María Cáceres Universidad de Granada
Pierre Degond CNRS (Centre national de la recherche scientifique)
Lukas Einkemmer Universität Innsbruck
Maria Gualdani University of Texas at Austin
Seung-Yeal Ha Seoul National University
Anna Korba ENSAE (École Nationale de la Statistique et de l'Administration)
Christie Marr Isaac Newton Institute
Sara Merino Aceituno University of Vienna
Benoit Perthame Sorbonne Université
Pierre Roux University of Oxford
Christian Schmeiser Universität Wien
Susanne Solem Norwegian University of Life Sciences (UMB)
Eric Sonnendrucker Max Planck Institute for Plasma Physics; Munich University of Technology
Eitan Tadmor University of Maryland, College Park
Claudia Totzeck Bergische Universität Wuppertal
Oliver Tse Technische Universität Eindhoven
Urbain Vaes INRIA; INRIA Paris - Rocquencourt
Marie-Therese Wolfram University of Warwick
Jeremy Wu University of Oxford
Ewelina Zatorska Imperial College London

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Participants

Stephanie Abo University of Waterloo
Giacomo Albi Università degli Studi di Verona
Frank Ernesto Alvarez Borges Université Paris-Dauphine
Anton Arnold Technische Universität Wien
Nathalie Ayi Sorbonne Université
Rafael Bailo University of Oxford; Université Lille 1
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
Freddy Bouchet ENS - Lyon; CNRS (Centre national de la recherche scientifique)
Daniel Boutros University of Cambridge
Maria Bruna University of Cambridge
Despres Bruno Sorbonne Université
Junhyeok Byeon Seoul National University
Martin Campos-Pinto Max Planck Institute for Plasma Physics
Jose A Carrillo University of Oxford
Antoine Cerfon Courant Institute of Mathematical Sciences; New York University
Luis Chacon Los Alamos National Laboratory
Hangjun Cho Seoul National University
Michele Coti Zelati Imperial College London
María Cáceres Universidad de Granada
Mihalis Dafermos Acclarogen Limited
Anne-Laure Dalibard Sorbonne Université
Noemi David Sorbonne Université; Università di Bologna
Pierre Degond CNRS (Centre national de la recherche scientifique)
Augusto Del Zotto Imperial College London
Giacomo Dimarco Università degli Studi di Ferrara
Jean Dolbeault CNRS & Université Paris-Dauphine
Michele Dolce Imperial College London
Mitia Duerinckx Université Paris Saclay; Université Libre de Bruxelles
Bertram Düring University of Warwick
Lukas Einkemmer Universität Innsbruck
Miguel Escobedo Universidad del País Vasco
Emre Esenturk University of Oxford
Gianluca Favre University of Vienna
Ouassim Feliachi Université d'Orléans
Francis Filbet Université de Toulouse
Victor Fournet Sorbonne Université
Antoine Gagnebin ETH Zürich
William Golding University of Texas at Austin
Francois Golse Centre de Physique Théorique de l’Ecole Polytechnique (CPHT)
Thierry Goudon INRIA Lille - Nord Europe Research Centre
Maria Gualdani University of Texas at Austin
RIshabh Gvalani Max-Planck-Institut für Mathematik, Leipzig
Seung-Yeal Ha Seoul National University
Cory Hauck Oak Ridge National Laboratory
Frederic Herau Université de Nantes
Jingwei Hu University of Washington
Mikaela Iacobelli ETH Zürich
Slim IBRAHIM University of Victoria
Cyril Imbert CNRS - Ecole Normale Superieure Paris
Pierre-Emmanuel Jabin Pennsylvania State University
Divya Joseph Kayyunnapara None / Other
Ansgar Juengel Technische Universität Wien
Axel Klar Technische Universität Kaiserslautern
Anna Korba ENSAE (École Nationale de la Statistique et de l'Administration)
Yury Korolev University of Cambridge
Lisa Maria Kreusser University of Bath
Laurent Lafleche University of Texas at Austin
Anita Layton University of Waterloo
Qin Li University of Wisconsin-Madison
Tai-Ping Liu Stanford University; Academia Sinica
Amélie Justine Loher University of Cambridge
Jani Lukkarinen University of Helsinki
Simona Mancini Université d'Orléans
Karsten Matthies University of Bath
Avi Mayorcas University of Cambridge
Sara Merino Aceituno University of Vienna
Carmela Moschella Universität Wien
Clément Mouhot University of Cambridge
Alessia Nota University of L'Aquila
Marc Nualart Batalla Imperial College London
Lorenzo Pareschi Università degli Studi di Ferrara
Benoit Perthame Sorbonne Université
Irina Potapenko Keldysh Institute of Applied Mathematics
Alexandre Rege ETH Zürich
Pierre Roux University of Oxford
Alexander Russell University of Dundee
Christian Schmeiser Universität Wien
Carola-Bibiane Schönlieb University of Cambridge; Cambridge Mathematics of Information in Healthcare
Ruiwen Shu University of Oxford
Jacques Smulevici Sorbonne Université
Susanne Solem Norwegian University of Life Sciences (UMB)
Eric Sonnendrucker Max Planck Institute for Plasma Physics; Munich University of Technology
Samuel Stechmann University of Wisconsin-Madison
Weiran Sun Simon Fraser University
Eitan Tadmor University of Maryland, College Park
Maja Taskovic Emory University
Florian Theil University of Warwick
Edriss Titi University of Cambridge; Texas A&M University
Claudia Totzeck Bergische Universität Wuppertal
Oliver Tse Technische Universität Eindhoven
Urbain Vaes INRIA; INRIA Paris - Rocquencourt
Zhenfu Wang Peking University
Li Wang University of Minnesota
Raphael Winter Université Claude Bernard Lyon 1; ENS - Lyon
Marie-Therese Wolfram University of Warwick
Jeremy Wu University of Oxford
Yunan Yang ETH Zürich
Havva Yoldas University of Vienna
Ewelina Zatorska Imperial College London
Yuzhe Zhu École Normale Supérieure