Kinetic Equations: From Modeling Computation to Analysis (Morlet Chair – Shi Jin)

CONFERENCE
Kinetic Equations: from Modeling, Computation to Analysis (event 2355)
Equations cinétiques: Modélisation, Simulation et Analyse
Dates: 22-26 March 2021
Place: CIRM (Marseille Luminy, France)

Rationale:
Kinetic equations bridge the microscopic molecular dynamics and the macroscopic hydrodynamic equations. As such they offer richer physics than macroscopic equations, yet are much more computationally affordable than molecular dynamic simulations.
In addition to traditional applications in rarefied gas, neutron transport and astrophysics, in recent years one has seen emerging applications of kinetic modeling in plasma physics, complex fluids, social and biological sciences, etc.

We will invite leading figures as well as young researchers to the conference in order to present their recent research results, and  foster further collaborations. We will have a mixture of theoreticians with computational scientists from applied areas in order to expand the scope of the topics and produce opportunities for the expansion of the field. We will also organize a panel discussion on future directions of research in kinetic theory, and in particular, its interplay with new areas of data sciences, machine learning and deep neural networks.

Program:

• mean-field limit of N-body Schrodinger equations
• fluid dynamics limit of kinetic equations and corresponding multi-scale computational methods
• mean-field limit of deterministic and random particles
• self-organized events in social and biological behavior applications in data sciences and machine learnings

• Pierre Degond (Imperial College)
• Benoit Perthame (Sorbonne Université)
• Laure Saint-Raymond (ENS Lyon)
• Eitan Tadmor (University of Maryland)

• Mihai Bostan (Aix-Marseille Université)
• Shi Jin (Shanghai Jiao Tong University & Aix-Marseille Université)
• Michel Mehrenberger (Université de Strasbourg)

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