Home /  Particle interactive systems: Analysis and computational methods (SLMath)

Summer Graduate School

Particle interactive systems: Analysis and computational methods (SLMath) June 17, 2024 - June 28, 2024
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers LEAD Irene M. Gamba (University of Texas, Austin), Francois Golse (École Polytechnique), Qin Li (University of Wisconsin-Madison), Chiara Saffirio (Universität Basel)
Lecturer(s)

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Speaker(s)

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Description
Particle interactions

This summer school will focus on the introductory notions related to the passage of Newtonian and quantum many-body dynamics to kinetic collisional models of Boltzmann flow models arising in statistical sciences in connection to model reductions when continuum macro dynamics arises; and their numerical schemes associated to transport of kinetic processes in classical and data driven mean field dynamics incorporating recent tools from computational kinetics and data science tools. There will be two sets of lectures: “From Newton to Boltzmann to Fluid dynamics”, and “Kinetic collisional theory in mean field regimes: analysis, discrete approximations, and applications”. Each lecture series will be accompanied by a collaboration session, led by the lecturer and teaching assistants. The purpose of the collaboration sessions is to encourage and strengthen higher-level thinking of the materials taught in the lectures and to direct further reading for interested students. Interactive learning activities will be conducted. For example, students will be given problem sets associated with the lectures and will work in small groups to discuss concepts and/or find solutions to assigned problems. The students will also be encouraged to give oral or poster presentations on their solutions or other materials relevant to the course.

There will be two sets of lectures:

  • From Newton to Boltzmann to Fluid dynamics
  • Kinetic collisional theory in mean field regimes: analysis, discrete approximations, and applications

This school will serve as an introduction to the semester program “Kinetic theory: Novel statistical, stochastic and analytical methods”.

School Structure

There will be two lectures each day, as well as two problem sessions.

Bibliography

Prerequisites

A good background in first year graduate real and functional analysis tools, basic graduate measure theory and probability methods, as well as basic notion of numerical analysis tools, such of those from Prelim graduate school courses in American institutions. A basic course of PDEs, graduate or even undergraduate, is recommended. This course is targeted to graduate students in Mathematics and Applied Computational Engineering, Science and Mathematics programs.

Application Procedure

For eligibility and how to apply, see the Summer Graduate Schools homepage.


 

Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • mathematical physics

  • condensed matter. Integral-partial differential systems dynamics

  • quantum and kinetic models of particle interactions

  • collisional and mean field theories in plasma

  • numerical methods and deep learning

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Schedule, Notes/Handouts & Videos
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Jun 17, 2024
Monday
08:40 AM - 08:55 AM
  Introduction to SLMath
09:00 AM - 10:15 AM
  Lecture A
Chiara Saffirio (Universität Basel)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture A
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
  Lecture B
Irene M. Gamba (University of Texas, Austin)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture B
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 (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
  Lecture A
Chiara Saffirio (Universität Basel)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture A
Chiara Saffirio (Universität Basel)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Recitation A
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
  Lecture B
Irene M. Gamba (University of Texas, Austin)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture B
Irene M. Gamba (University of Texas, Austin)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Recitation B
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
  Lecture C
Francois Golse (École Polytechnique)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture C
Francois Golse (École Polytechnique)
12:00 PM - 12:15 PM
  Group Photo
12:15 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Group Presentation
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Group Presentation
Jun 25, 2024
Tuesday
09:00 AM - 10:15 AM
  Lecture D
Qin Li (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture D
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
  Lecture C
Francois Golse (École Polytechnique)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture C
Francois Golse (École Polytechnique)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Recitation C
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
  Lecture D
Qin Li (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Break
10:45 AM - 12:00 PM
  Lecture D
Qin Li (University of Wisconsin-Madison)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Recitation D
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 (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