Boltzmann Equation Courses and Certifications

NPTEL;  IIT Madras

Physics - Nonequilibrium Statistical Mechanics

Explore advanced concepts in nonequilibrium statistical mechanics, including Langevin models, linear response theory, Fokker-Planck equations, and critical phenomena, with practical applications and quizzes.

• YouTube
• 1 day 9 hours
• Self-Paced
• Free Video

nanohubtechtalks

Thermoelectricity - From Atoms to Systems

Explore thermoelectric theory from atoms to systems using a unique bottom-up approach, covering transport parameters, characterization methods, and cutting-edge materials.

• YouTube
• 12 hours 39 minutes
• Self-Paced
• Free Video

Arvin Ash

The Mind-Bending Secret of Maxwell's Demon and Its Link to Modern Computers

Explore the fascinating connection between Maxwell's Demon thought experiment and modern computing, revealing how information processing relates to entropy and sets fundamental limits on computer power.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

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

ICTP Mathematics

Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability

Explore advanced mathematical techniques in nonlocal partial differential equations with applications spanning plasma physics, geometry, and probability theory.

• YouTube
• 1 day 14 hours 4 minutes
• Self-Paced
• Free Video

nanohubtechtalks

Near-Equilibrium Carrier Transport - Introduction to Bottom-Up Approach

Master carrier transport physics using Supriyo Datta's rigorous bottom-up approach, covering ballistic to diffusive resistance, thermoelectric effects, and scattering mechanisms.

• YouTube
• 11 hours 40 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

The General Case? - Amie Wilkinson

Explore ergodicity, Boltzmann's ideas, and recent developments in dynamical systems with mathematician Amie Wilkinson in this engaging seminar on the concept of "the general case".

• YouTube
• 58 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

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

ICTP Mathematics

Construction of Weak Solutions for the Landau Equation by Approximations of Solutions to

Explore the construction of weak solutions for the Landau equation through approximations of Boltzmann equation solutions in grazing collision limit scenarios.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Society for Industrial and Applied Mathematics

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

Explore macroscopic fluctuations in hard sphere gases, including deviations from the Boltzmann equation, central limit theorem, and large deviation bounds in the Boltzmann-Grad limit.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Society for Industrial and Applied Mathematics

Fluctuation Theory in the Boltzmann-Grad Limit

Explore fluctuation theory in the Boltzmann-Grad limit for hard-sphere gases, examining dynamical correlations and their implications for the kinetic Boltzmann equation and large deviation asymptotics.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Fields Institute

A Kinetic-Hydrodynamic Coupling Method for Self-Interacting Dark Matter (SIDM)

Explore a novel kinetic-hydrodynamic coupling approach for self-interacting dark matter, enhancing understanding of cosmic structure formation and evolution.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On the Origin of Fat Tailed Distribution Functions in Driven Complex Systems

Explore the origin of fat-tailed distributions in driven complex systems through sample space reducing processes, offering insights into various statistical phenomena and their applications.

• YouTube
• 45 minutes
• Self-Paced
• Free Video