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.
Auxiliary Functionals - A Path to Solving the Problem of Turbulence
Explore innovative approaches to solving turbulence in fluid dynamics using auxiliary functionals and sum-of-squares polynomial optimization, with applications to Kuramoto-Sivashinsky and Navier-Stokes equations.
Magnetohydrodynamic Turbulence - Weak Solutions and Conserved Quantities
Explore magnetohydrodynamic turbulence, weak solutions, and conserved quantities in ideal systems. Analyze the mathematical structures behind Taylor-Woltjer relaxation theory and Faraday systems.
Flows of Nonsmooth Vector Fields - Lecture 1
Explore the intricacies of non-smooth vector field flows in this advanced mathematics lecture by Camillo De Lellis, delving into complex theoretical concepts and their applications.
Tropical Geometry and Shallow Water Waves
Explore the fascinating intersection of tropical geometry and shallow water waves in this engaging lecture by Harvard mathematician Lauren Kiyomi Williams.
Potential Flow and Method of Images with 3Blue1Brown
Explore 2D incompressible fluid dynamics with Grant Sanderson, covering potential flow, common flow fields, and the method of images for various scenarios like sources near walls and in channels.
Stratification for Markov Chain Monte Carlo
Explore advanced Markov Chain Monte Carlo techniques, focusing on stratification methods for complex systems modeling and statistical inference in various scientific domains.
Seminar in the Analysis and Methods of PDE - Andrea Bertozzi
Explore the physics behind "tears of wine" phenomenon, examining undercompressive shocks in thin films and their role in the formation of wine tears using mathematical modeling and analysis.
High Resolution Shock Capturing Scheme for Non-Relativistic Hydrodynamics - Lecture 2
Explore advanced numerical techniques for modeling shock waves in non-relativistic fluid dynamics, enhancing understanding of complex hydrodynamic phenomena in astrophysical simulations.
Mathematical Modeling of Glacier Flow - Deriving the Nonlinear Wave Equation
Explore glacier flow modeling through nonlinear wave equations, featuring real footage from Svalbard. Learn mass conservation, Navier-Stokes equations, and Glen's Flow Law in this engaging mathematical journey.
Dynamics of Biological Systems - Lecture 5
Explore biological dynamics using physics tools to model and predict complex living systems, from predator-prey oscillations to bacterial motility and collective behavior in fluids.
Dynamics of Biological Systems - Lecture 8
Explore biological dynamics using physics tools to model and predict complex living systems, from predator-prey oscillations to bacterial motility and collective behavior in fluids.
Dynamics of Biological Systems - Lecture 7
Explore biological dynamics using physics principles. Learn to model predator-prey oscillations, ecosystem chaos, and microbial swimming. Gain insights into species competition, population changes, and collective behavior in fluids.
Dynamics of Biological Systems - Lecture 6
Explore biological dynamics using physics tools to model and predict complex living systems, from predator-prey oscillations to bacterial motility and collective behavior in fluids.
Randomness in Dynamical Systems - Lecture 2
Explores randomness in dynamical systems, focusing on geophysical fluid dynamics. Covers theoretical concepts and practical applications in climate modeling and atmospheric-oceanic interactions.
Randomness in Dynamical Systems - Lecture 1
Explore randomness in dynamical systems, focusing on its role and implications in geophysical fluid dynamics and climate modeling. Learn about stochastic aspects and their impact on system behavior.
Poseidon: Efficient Foundation Models for PDEs - Tutorial 1
Explore efficient foundation models for PDEs with Poseidon, focusing on innovative techniques and applications in computational science.
Finite Point Blowup for the Critical Generalized Korteweg-de Vries Equation
Explore finite point blowup in critical generalized KdV equations, uncovering new blow-up dynamics and rates. Gain insights into recent advancements in nonlinear wave theory.
Nonlinear Dynamics Insights into Golden Tides in the Caribbean Sea
Explore nonlinear dynamics of Sargassum transport in the Caribbean Sea, examining mesoscale eddies as carriers and mechanisms of coastal inundation using satellite data and minimal models.
Finite Difference Schemes for Partial Differential Equations in Oceanography - Munk Equation and Shallow Water Equations
Explore high-order finite difference schemes for Munk equation and Shallow Water equations on Cubed Sphere grid, with numerical and convergence analysis.
Data-Driven Closure Modeling Using Derivative-free Kalman Methods
Explore data-driven closure modeling for complex dynamical systems using derivative-free Kalman methods. Learn to improve predictions in turbulence and cloud dynamics with advanced machine learning techniques.