YoVDO

From Newton to Boltzmann - Fluctuations and Large Deviations in Hard Sphere Gas Dynamics

Offered By: Society for Industrial and Applied Mathematics via YouTube

Tags

Partial Differential Equations Courses Asymptotic Analysis Courses Central Limit Theorem Courses Statistical Mechanics Courses Mathematical Physics Courses Boltzmann Equation Courses Kinetic Theory Courses Non-equilibrium systems Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the fascinating world of macroscopic fluctuations in hard sphere gases through this illuminating seminar presented by Isabelle Gallagher from École Normale Supérieure, Paris. Delve into recent research on rigorous theories of non-equilibrium systems in the Boltzmann-Grad limit, examining deviations from the Boltzmann equation and uncovering insights into the asymptotic dynamics of empirical density. Gain a deeper understanding of central limit theorems and large deviation bounds for short kinetic times, as Gallagher shares collaborative findings with Th. Bodineau, L. Saint-Raymond, and S. Simonella. This hour-long talk, titled "From Newton to Boltzmann, Fluctuations, and Large Deviations," offers a comprehensive look at the intersection of statistical mechanics and partial differential equations, providing valuable insights for researchers and students in applied mathematics and physics.

Syllabus

Seminar In the Analysis and Methods of PDE (SIAM PDE): Isabelle Gallagher


Taught by

Society for Industrial and Applied Mathematics

Related Courses

Non-Equilibrium Applications of Statistical Thermodynamics
University of Colorado Boulder via Coursera
Nano-to-Macro Transport Processes
Massachusetts Institute of Technology via MIT OpenCourseWare
Physics - Nonequilibrium Statistical Mechanics
NPTEL via YouTube
Deterministic Solution of the Boltzmann Equation - Fast Spectral Methods
Hausdorff Center for Mathematics via YouTube
A Gradient Flow Approach to Kinetic Equations
Hausdorff Center for Mathematics via YouTube