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Schedule, Notes/Handouts & Videos

Particle interactive systems: Analysis and computational methods (SLMath) June 17, 2024 - June 28, 2024

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Jun 17, 2024
Monday
08:40 AM - 08:55 AM
  Introduction to SLMath
09:00 AM - 10:15 AM
  From Newton to Boltzmann: "The Boltzman equation and the Boltzmann-Grad limit"
Chiara Saffirio (Universität Basel)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  From Newton to Boltzmann: "Lanford's derivation of the Boltzmann equation. A toy model: the Lorentz gas"
Chiara Saffirio (Universität Basel)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Group Projects Initiation
Irene M. Gamba (University of Texas, Austin), Chiara Saffirio (Universität Basel)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Projects
Jun 18, 2024
Tuesday
09:00 AM - 10:15 AM
  Kinetic collisional theory analysis and applications: "An introduction to the Classical Boltzmann equation: Non-local multilinear forms, collisional laws and flow invariants, entropies and associated hydrodynamics equations"
Irene M. Gamba (University of Texas, Austin)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Kinetic collisional theory analysis and applications: "The Cauchy problem for ODEs in Banach space associated to non-local collisional flows. Coerciveness and upper bounds: Existence and uniqueness theory"
Irene M. Gamba (University of Texas, Austin)
12:00 PM - 03:00 PM
  Picnic Lunch
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Projects Initiative
Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique), Qin Li (University of Wisconsin-Madison)
Jun 19, 2024
Wednesday
08:00 AM - 05:00 PM
  SLMath Closed in Observance of Juneteenth
Jun 20, 2024
Thursday
09:00 AM - 10:15 AM
  From Newton to Boltzmann: "The Lorentz gas in the Boltzmann-Grad limit"
Chiara Saffirio (Universität Basel)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  From Newton to Boltzmann: "Markovianity and non-Markovianity. Recent developments and open questions"
Chiara Saffirio (Universität Basel)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Group Projects
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Projects
Jun 21, 2024
Friday
09:00 AM - 10:15 AM
  Kinetic collisional theory analysis and applications: "Propagation and generation of polynomial and exponential moments. Propagation of Sobolev regularity and boundedness"
Irene M. Gamba (University of Texas, Austin)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Kinetic collisional theory analysis and applications: "Applications to gas dynamics and mean field plasma model"
Irene M. Gamba (University of Texas, Austin)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Group Projects
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Projects
Jun 24, 2024
Monday
09:00 AM - 10:15 AM
  Kinetic and Hydrodynamic Models with Radiation: “Radiative Transfer and Diffusion Limit”
Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Kinetic and Hydrodynamic Models with Radiation: “Rosseland Approximation. Boltzmann Equation and Fluid Dynamics: Basic Structure”
Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique)
12:15 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Group Presentation
03:30 PM - 03:40 PM
  Group Photo
03:40 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Presentation
Jun 25, 2024
Tuesday
09:00 AM - 10:15 AM
  Examples of interactive particles from physical and artificial systems
Qin Li (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Kinetic related inverse problems and PDE-constrained optimization
Qin Li (University of Wisconsin-Madison)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Group Projects
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Projects
Jun 26, 2024
Wednesday
09:00 AM - 10:15 AM
  Kinetic and Hydrodynamic Models with Radiation: “From the Boltzmann Equation to Fluid Dynamics
Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Kinetic and Hydrodynamic Models with Radiation: “Topics on Radiative Transfer in Fluids”
Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Group Projects
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Projects
Jun 27, 2024
Thursday
09:00 AM - 10:15 AM
  Particle method for linear systems
Qin Li (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Mean field limit and the coupling method
Qin Li (University of Wisconsin-Madison)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Group Projects
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Projects
Jun 28, 2024
Friday
09:00 AM - 10:15 AM
  Project Presentations
Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique), Qin Li (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Project Presentations
12:00 PM - 12:30 PM
  Participant Survey
12:30 PM - 02:00 PM
  Lunch
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