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Kinetic Theory of Gases

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Hausdorff Center for Mathematics
Kinetic Theory - Junior Trimester Program

Explore advanced mathematical theories in kinetic equations, particle systems, and their applications through expert lectures on diffusion, equilibrium, and scaling limits.
- YouTube
- 2 days 18 hours 50 minutes
- Self-Paced
- Free Video
International Centre for Theoretical Sciences
Connections Between Microscopic and Macroscopic Laws by Abhishek Dhar

Explore connections between microscopic and macroscopic laws in physics, focusing on heat conduction, Fourier's law, and fluctuating hydrodynamics in one-dimensional systems.
- YouTube
- 1 hour 12 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
Chiara Saffirio - From the Many-Body Quantum Dynamics to the Vlasov Equation

Exploring quantum dynamics to Vlasov equation: from many-body systems to kinetic theory, covering mean-field limits, semiclassical approaches, and convergence rates for interacting fermions.
- YouTube
- 52 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
A Gradient Flow Approach to Kinetic Equations

Gradient flow approach to linear kinetic equations, exploring entropy dissipation inequality and large deviation principles. Discusses potential extensions to non-linear cases and connections to Markov chains.
- YouTube
- 58 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
On a Multi-Species Kinetic Model of Plasma, Theory and Numerics

Explore a new multi-species kinetic model for plasma, examining its theoretical properties and numerical solutions in the context of inertial confinement fusion.
- YouTube
- 51 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
Vlasov-Maxwell-Boltzmann System

Explore the Vlasov-Maxwell-Boltzmann system and its convergence to the Navier-Stokes-Fourier-Maxwell system with Ohm's law, including uniform estimates and classical solution analysis.
- YouTube
- 47 minutes
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- Free Video
Hausdorff Center for Mathematics
Vlasov Poisson Boltzmann Equation in Bounded Domains

Explore the Vlasov-Poisson-Boltzmann system for charged particles in bounded domains, focusing on boundary effects, solution construction, and convergence to global Maxwellian distribution.
- YouTube
- 47 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
Scaling Limits and Effective Equations in Kinetic Theory I

Explores scaling limits and effective equations in kinetic theory, focusing on Boltzmann and Landau equations for rarefied gases and weakly interacting plasmas, discussing mathematical challenges in rigorous derivation.
- YouTube
- 1 hour 8 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
Quantitative Uniform Propagation of Chaos for Maxwell Molecules

Explores propagation of chaos in Kac's N-particle system for Maxwell molecules, using probabilistic coupling techniques and recent stabilization results to establish uniform-in-time estimates.
- YouTube
- 47 minutes
- Self-Paced
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Hausdorff Center for Mathematics
Mean Field Limit by Gamma Convergence

Explores mean-field limit for λ-convex potentials using variational methods, focusing on gradient flows and Γ-convergence in interacting particle systems.
- YouTube
- 30 minutes
- Self-Paced
- Free Video
Hausdorff Center for Mathematics
Indirect Diffusion Effect and Convergence to Equilibrium

Explores indirect diffusion in reaction-diffusion systems, showing how non-diffusing species can still reach equilibrium through interactions with diffusing species and reversible reactions.
- YouTube
- 33 minutes
- Self-Paced
- Free Video
Kavli Institute for Theoretical Physics
Kinetic Theory: From Plasma Physics to Galactic Dynamics

Explore kinetic theory applications from plasma physics to galactic dynamics. Discover cross-disciplinary connections in theoretical physics through expert insights and collaborative discussions.
- YouTube
- 58 minutes
- Self-Paced
- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
From Newton's Laws to Fluid Mechanics: Deriving the Boltzmann Equation - Award Lecture

Explore the derivation of fluid mechanics equations from Newton's laws, examining irreversibility and propagation of chaos in the context of Boltzmann's kinetic theory.
- YouTube
- 57 minutes
- Self-Paced
- Free Video
Centre International de Rencontres Mathématiques
Diffusion Asymptotic of a Kinetic Model for Gas-Particle Mixture with Energy Exchange

Delve into a non-isothermal kinetic model for gas-particle interactions, exploring diffuse reflection mechanisms, conservation of energy, entropy expression, and formal diffusive asymptotics for a Maxwell-Stefan model.
- YouTube
- 45 minutes
- Self-Paced
- Free Video
Galileo Galilei Institute (GGI)
Spectra and Transport in the RTA and Beyond

Explore the complexities of spectra and transport in the Relaxation Time Approximation (RTA) and its extensions in this comprehensive physics lecture by Alexander Soloviev.
- YouTube
- 1 hour 12 minutes
- Self-Paced
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