Regularity of Vortex and SQG Patches - Lecture
Explore regularity of vortex and SQG patches, covering existence, global irregularity, numerical simulations, and geometric analysis in fluid dynamics.
Odd Fluids - Mathematical Analysis of Non-Standard Fluid Dynamics
Explore odd fluids and their mathematical properties in this conference talk by Francesco Fanelli at CIRM's MathFlows meeting.
The Rayleigh-Bénard Problem for Compressible Fluid Flows
Explore the Rayleigh-Bénard problem for compressible fluid flows, focusing on asymptotic stability, trajectory space, and ergodic averages in energetically closed systems.
Suppression of Chemotactic Blow-up by Buoyancy
Explore the suppression of chemotactic blow-up by buoyancy in this mathematical conference talk, featuring insights on aggregation-diffusion equations and collective behavior.
Spontaneous Stochasticity
Explore spontaneous stochasticity in mathematics with Alexei Mailybaev's lecture at IMPA's 70th anniversary conference, featuring cutting-edge research and international collaboration.
Large Deviations of Time-Integrated Quantities in Active and Passive Matter
Explore large deviations in particle movement models, analyzing entropy production and dynamical activity. Discover various phase transitions and their implications for rate function scaling.
A Large Deviation Perspective on Nanoscale Transport Phenomena
Explore nanoscale transport phenomena through large deviation theory, examining current fluctuations in nonequilibrium states and their relation to nonlinear responses in complex systems.
The Physical Processes Governing Structure Formation in Our Universe
Explore the physical processes shaping cosmic structures, from large-scale web formations to galaxy and star evolution, examining gravitational forces, hydrodynamics, and radiative effects.
Waves and Wind-Driven Flows in the Ocean - Lecture 2
Explore Kelvin-Stuart vortices in fluid mechanics, plasma physics, and planetary rings. Analyze stability, applications, and magnetic island equilibria in 2D ideal MHD equations.
Ocean Modeling: Stochastic Approaches to Numerical Simulations
Explore stochastic approaches in ocean modeling, including Monte-Carlo methods, perturbed initial conditions, and stochastic boundary conditions and dissipation operators for improved numerical simulations.
Waves and Wind-Driven Flows in the Ocean - Lecture 4
Explore Kelvin-Stuart vortices' stability in fluid mechanics, plasma physics, and planetary rings. Analyze nonlinear stability and linear instability for various perturbations.
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.
Perturbation at Blow Up of Self-Similar Solution for Modified Korteweg-de Vries Equation
Explore stability and perturbation of self-similar solutions' blowup dynamics in the modified Korteweg-de Vries equation, with applications to fluid dynamics and vortex patch formation.
Weakly Turbulent Solution to the Schrödinger Equation on the 2D Torus with Potential
Explore a smooth solution to the linear Schrödinger equation on a 2D torus, examining logarithmic H^1 Sobolev norm growth and infinite-time blowup using adapted CKSTT techniques.
Chiral Anomaly in Fluid Dynamics: Coupling Axial Gauge Field to Euler Fluid
Explore geometric and analytic aspects of Quantum Hall effect, focusing on chiral anomaly in fluid dynamics and axial gauge field coupling to Euler fluid.
Stochasticity and Its Implications for the Dynamics of Magnetized Turbulence
Explore stochasticity's impact on magnetized turbulence dynamics, delving into fast magnetic reconnection and spontaneous stochasticity in astrophysical contexts.
What is Spontaneous Stochasticity and How Far Do We Understand It?
Explore spontaneous stochasticity in physics and mathematics, examining its implications and current understanding through expert insights and research findings.
Holography with Broken Spacetime Symmetries - Transition into Adulthood
Explore holography's evolution in condensed matter systems, focusing on broken spacetime symmetries and their implications for strange metals and effective field theories.
Mammatus Clouds and Sedimentation Instabilities - Kirk Lecture
Explore the formation of mammatus and asperitas clouds through droplet sedimentation, thermodynamics, and wind shear. Analyze stability and patterns in cloud formations using mathematical models.
The Hawaiian Plume: What Surface Observables Tell Us - Rothschild Lecture
Explore the Hawaiian plume's impact on surface observables through fluid mechanical models, revealing insights into mantle dynamics and intraplate volcanism.
Probabilistic Inference of the Steady-State Distribution of an Age-Size Structured Population
Explore probabilistic techniques for inferring steady-state distributions of age-size structured populations using single-cell data and stochastic modeling.