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.
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.
Aggregation-Diffusion and Kinetic PDEs for Collective Behavior: Applications in Sciences
Explorez les modèles mathématiques de comportement collectif, leurs propriétés et applications en biologie et ingénierie. Découvrez les phénomènes de ségrégation, transitions de phase et consensus.
Bouncy Balls Simulation - Temperature and Pressure Calculations - Episode 5
Explore temperature, pressure, and the Ideal Gas Law through bouncy ball simulations using VPython. Calculate and visualize ensemble properties in this engaging physics coding tutorial.
Connections Between Microscopic and Macroscopic Laws by Abhishek Dhar
Explore connections between microscopic and macroscopic laws in physics, focusing on heat conduction, Fourier's law, and fluctuating hydrodynamics in one-dimensional systems.
Chiara Saffirio - From the Many-Body Quantum Dynamics to the Vlasov Equation
Exploring quantum dynamics to Vlasov equation: from many-body systems to kinetic theory, covering mean-field limits, semiclassical approaches, and convergence rates for interacting fermions.
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.
Collisions in Plasmas - The Landau Equation - Part IV
Explore plasma collisions through the Landau equation, covering entropy structure, factorization theorems, and computational aspects of this advanced mathematical topic.
Collisions in Plasmas: The Landau Equation - Part 5
Explore plasma collisions through the Landau equation, delving into advanced mathematical concepts and their applications in physics and probability theory.
Excitation Spectrum and Time Evolution of Bose-Einstein Condensates
Explore the dynamics of Bose-Einstein condensates, focusing on time evolution and excitation spectrum in the Gross-Pitaevskii regime, using advanced mathematical tools for large-scale systems.
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.
Vlasov-Maxwell-Boltzmann System
Explore the Vlasov-Maxwell-Boltzmann system and its convergence to the Navier-Stokes-Fourier-Maxwell system with Ohm's law, including uniform estimates and classical solution analysis.
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.
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.
Quantitative Uniform Propagation of Chaos for Maxwell Molecules
Explores propagation of chaos in Kac's N-particle system for Maxwell molecules, using probabilistic coupling techniques and recent stabilization results to establish uniform-in-time estimates.
Mean Field Limit by Gamma Convergence
Explores mean-field limit for λ-convex potentials using variational methods, focusing on gradient flows and Γ-convergence in interacting particle systems.
Indirect Diffusion Effect and Convergence to Equilibrium
Explores indirect diffusion in reaction-diffusion systems, showing how non-diffusing species can still reach equilibrium through interactions with diffusing species and reversible reactions.