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.
A Kinetic-Hydrodynamic Coupling Method for Self-Interacting Dark Matter (SIDM)
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…
The Regularity Problem for the Landau Equation
Explore the intricacies of the Landau equation's regularity problem with François Golse, delving into advanced mathematical concepts and their applications.
Isabelle Gallagher's Contributions to Mathematical Physics - Fluid Mechanics and Kinetic Theory
Explore Isabelle Gallagher's contributions to Mathematical Physics, focusing on Fluid Mechanics and Kinetic Theory in rotating fluids and Boltzmann equation derivation.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Kinetic Modelling of Colonies of Myxobacteria
Explore kinetic modeling of myxobacteria colonies, examining cell-cell interactions and emergent behaviors through Boltzmann-type equations, mathematical analysis, and numerical simulations.
Dark Matter - Class 2
Explore dark matter theories and evidence in this advanced physics lecture, part of a comprehensive summer school series on particle physics.
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.
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.
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.
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.