Boltzmann Equation Courses and Certifications

Hausdorff Center for Mathematics

Homoenergetic Solutions for the Boltzmann Equation

Explore homoenergetic solutions of the Boltzmann equation, their well-posedness theory, and unique long-time asymptotics in nonequilibrium gas dynamics under shear, expansion, or compression.

• YouTube
• 1 hour
• On-Demand
• Free Video

International Mathematical Union

Convergence of a Dilute Gas to the Fluctuating Boltzmann Equation

Explore the convergence of a dilute gas to the fluctuating Boltzmann equation, examining empirical measure fluctuations and their convergence to a Gaussian process for short and long time periods.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Deterministic Solution of the Boltzmann Equation - Fast Spectral Methods

Explore fast Fourier spectral methods for solving the Boltzmann equation, addressing computational challenges and showcasing applications in rarefied gas dynamics.

• YouTube
• 40 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Gaussian Lower Bounds for the Boltzmann Equation Without Cut-off - SIAM PDE Seminar

Explore Gaussian lower bounds for the Boltzmann equation, examining particle density evolution in gases and conditional estimates for solving global well-posedness challenges in fluid dynamics.

• YouTube
• 1 hour
• On-Demand
• Free Video

ICTP Mathematics

Regularity of the Boltzmann Equation in Bounded Domains - I

Explore the regularity of the Boltzmann equation in bounded domains, focusing on advanced mathematical concepts and applications in geometry, physics, and probability theory.

• YouTube
• 56 minutes
• On-Demand
• Free Video

ICTP Mathematics

Regularity of the Boltzmann Equation in Bounded Domains - II

Explore advanced mathematical concepts in nonlocal PDEs, focusing on the Boltzmann equation's regularity in bounded domains. Gain insights from expert Tonon, D. in this in-depth lecture.

• YouTube
• 49 minutes
• On-Demand
• 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
• On-Demand
• Free Video

NCCR SwissMAP

Convergence of a Dilute Gas to the Fluctuating Boltzmann Equation

Explore the convergence of dilute gases to the fluctuating Boltzmann equation, examining effective theories in classical and quantum particle systems.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Institute for Advanced Study

The 3D Kinetic Couette Flow Via The Boltzmann Equation in the Diffusive Limit

Delve into advanced mathematical analysis of 3D Kinetic Couette Flow through the Boltzmann equation, exploring diffusive limits, Navier-Stokes-Fourier systems, and computational methods.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Non-Equilibrium Applications of Statistical Thermodynamics

83 ratings at Coursera

Explore transport in gases, spectroscopic methods for thermodynamic analysis, and chemical kinetics with focus on combustion. Gain practical skills in determining properties and using computational tools.

• Coursera
• 7 hours 42 minutes
• On-Demand
• Paid Course

Nano-to-Macro Transport Processes

2 reviews

In this course you will learn parallel treatments of photons, electrons, phonons, and molecules as energy carriers, aiming at fundamental understanding and descriptive tools for energy and heat transport processes from nanoscale continuously to macroscal…

• MIT OpenCourseWare
• 34 hours
• On-Demand
• 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
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Partial Differential Equations - Advanced Topics and Applications

1 review

Explore advanced mathematical theories through expert lectures on fluid dynamics, quantum mechanics, inverse problems, and spectral analysis from leading researchers.

• YouTube
• 1 week 5 days 4 hours 34 minutes
• On-Demand
• Free Video