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#Boltzmann Equation

Showing: 23 courses
NPTEL

Physics - Nonequilibrium Statistical Mechanics

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Explore advanced concepts in nonequilibrium statistical mechanics, including Langevin models, linear response theory, Fokker-Planck equations, and critical phenomena, with practical applications and quizzes.
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36 Lesons
1 day 9 hours
On-Demand
Free-Video
Fields Institute

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

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Explore a cutting-edge kinetic-hydrodynamic coupling method for Self-Interacting Dark Matter (SIDM) in this 26-minute conference talk by Sarah Schon from The Pennsylvania State University. Delve into the latest advancements in dark matter research and ga…
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1 Lesons
26 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

The Regularity Problem for the Landau Equation

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Explore the intricacies of the Landau equation's regularity problem with François Golse, delving into advanced mathematical concepts and their applications.
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1 Lesons
57 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Isabelle Gallagher's Contributions to Mathematical Physics - Fluid Mechanics and Kinetic Theory

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Explore Isabelle Gallagher's contributions to Mathematical Physics, focusing on Fluid Mechanics and Kinetic Theory in rotating fluids and Boltzmann equation derivation.
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1 Lesons
40 minutes
On-Demand
Free-Video
ICTP Mathematics

Regularity of the Boltzmann Equation in Bounded Domains - I

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Explore the regularity of the Boltzmann equation in bounded domains, focusing on advanced mathematical concepts and applications in geometry, physics, and probability theory.
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1 Lesons
56 minutes
On-Demand
Free-Video
ICTP Mathematics

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

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Explore the construction of weak solutions for the Landau equation through approximations of Boltzmann equation solutions in grazing collision limit scenarios.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

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

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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.
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1 Lesons
1 hour
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

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

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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.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
International Mathematical Union

Convergence of a Dilute Gas to the Fluctuating Boltzmann Equation

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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.
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1 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Deterministic Solution of the Boltzmann Equation - Fast Spectral Methods

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Explore fast Fourier spectral methods for solving the Boltzmann equation, addressing computational challenges and showcasing applications in rarefied gas dynamics.
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22 Lesons
40 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Gradient Flow Approach to Kinetic Equations

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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.
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26 Lesons
58 minutes
On-Demand
Free-Video
ICTP Mathematics

Regularity of the Boltzmann Equation in Bounded Domains - II

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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.
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1 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Homoenergetic Solutions for the Boltzmann Equation

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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.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

On a Multi-Species Kinetic Model of Plasma, Theory and Numerics

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Explore a new multi-species kinetic model for plasma, examining its theoretical properties and numerical solutions in the context of inertial confinement fusion.
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1 Lesons
51 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Scaling Limits and Effective Equations in Kinetic Theory I

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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.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Kinetic Modelling of Colonies of Myxobacteria

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Explore kinetic modeling of myxobacteria colonies, examining cell-cell interactions and emergent behaviors through Boltzmann-type equations, mathematical analysis, and numerical simulations.
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1 Lesons
29 minutes
On-Demand
Free-Video
ICTP-SAIFR

Dark Matter - Class 2

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Explore dark matter theories and evidence in this advanced physics lecture, part of a comprehensive summer school series on particle physics.
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1 Lesons
1 hour 38 minutes
On-Demand
Free-Video
BIMSA

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

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Explore the rigorous connection between incompressible Couette flow and the Boltzmann equation through novel anisotropic estimates in the Wiener algebra function space.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

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

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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.
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1 Lesons
43 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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

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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.
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1 Lesons
45 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

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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.
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1 Lesons
57 minutes
On-Demand
Free-Video
NCCR SwissMAP

Convergence of a Dilute Gas to the Fluctuating Boltzmann Equation

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Explore the convergence of dilute gases to the fluctuating Boltzmann equation, examining effective theories in classical and quantum particle systems.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Mean Field Results in Fluid Mechanics - Lecture 3

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Explore advanced mean field techniques in fluid mechanics, focusing on stochastic and deterministic analysis for irregular models in mathematics.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video