Kinetic Theory Courses and Certifications

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
• 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

PCS Institute for Basic Science

Dynamics of Oscillator Populations: Exact Finite-Dimensional Reduction and Beyond

Explore finite-dimensional reduction in oscillator populations, extending Ott-Antonsen theory. Learn about transients, circular cumulants, and transfer matrix methods for complex oscillator systems.

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

Centre International de Rencontres Mathématiques

Construction of Boltzmann and McKean Vlasov Type Flows - The Sewing Lemma Approach

Explore construction of Boltzmann and McKean Vlasov flows using the sewing lemma approach. Gain insights into stochastic analysis and numerical probability from expert Vlad Bally.

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

BIMSA

3D Kinetic Couette Flow via the Boltzmann Equation in the Diffusive Limit

Explore the rigorous connection between incompressible Couette flow and the Boltzmann equation through novel anisotropic estimates in the Wiener algebra function space.

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

Institute for Pure & Applied Mathematics (IPAM)

On Regularity and Asymptotics of Kinetic Alignment Models

Explore wellposedness and regularization in Fokker-Planck-Alignment models for collective dynamics, demonstrating global smooth solutions from bounded data without regularity requirements.

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

Steve Brunton

Two Examples of Expected Values and Functions - Temperature in C vs F and the Kinetic Theory of Gases

Explore temperature conversions and kinetic theory through expected values, covering linear transformations and Maxwell's distribution in gas dynamics applications.

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

Chad's Prep

Ideal Gas Law and Kinetic Theory of Gases - General Physics

Explore the Ideal Gas Law and Kinetic Theory of Gases, covering fundamental postulates, individual gas laws, and practical calculations. Delve into molecular models and speed distributions.

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

CoA Physics

Physics 4B - Thermodynamics Assessment: Kinetic Theory of Gas - Part 1

Explore kinetic theory of gases in this thermodynamics assessment demo, covering key concepts and problem-solving techniques for advanced physics students.

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

Institut des Hautes Etudes Scientifiques (IHES)

Regularity Theory of Kinetic Equations with Rough Coefficients - Lecture 2

Delve into the extension of De Giorgi-Nash-Moser theory to hypoelliptic PDEs in kinetic theory, focusing on Kolmogorov equations with rough coefficients and connections to control theory and hypocoercivity.

• YouTube
• 2 hours 1 minute
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Regularity Theory of Kinetic Equations with Rough Coefficients - Lecture 3

Delve into the extension of De Giorgi-Nash-Moser theory to hypoelliptic PDEs in kinetic theory, focusing on Kolmogorov equations with rough coefficients and connections to control theory and hypocoercivity.

• YouTube
• 2 hours 5 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Regularity Theory of Kinetic Equations with Rough Coefficients - Lecture 4

Delve into the extension of De Giorgi-Nash-Moser theory to hypoelliptic PDEs in kinetic theory, focusing on Kolmogorov equations with rough coefficients and connections to control theory and hypocoercivity.

• YouTube
• 2 hours 10 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Regularity Theory of Kinetic Equations with Rough Coefficients - Part 1

Delve into the extension of De Giorgi-Nash-Moser theory to hypoelliptic PDEs in kinetic theory, focusing on Kolmogorov equations with rough coefficients and connections to control theory and hypocoercivity.

• YouTube
• 1 hour 55 minutes
• Self-Paced
• Free Video

Galileo Galilei Institute (GGI)

Hydrodynamics and Kinetic Theory - Attractors and Thermalization - Lecture IV

Explore advanced concepts in hydrodynamics and kinetic theory, focusing on attractors and thermalization processes in theoretical physics.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video