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.
Career Insights from Journal of Fluid Mechanics Editor-in-Chief
Insights from JFM Editor-in-Chief on fluid mechanics research, publishing strategies, and career advice. Discusses mathematical tools, favorite papers, and the journal's commitment to scientific excellence and inclusivity.
Knots and Knotted Vortices
Explore the fascinating world of knots and knotted vortices in this engaging public lecture by Louis Kauffman, delving into their mathematical and physical properties.
Data to Differential Equations: Discovering Mathematical Models for Biological Systems
Explore data-driven techniques for discovering governing equations in complex biological systems, focusing on PDEs and innovative mathematical methods for modeling phenomena like arterial flow and tissue fracture.
Low Regularity Well-Posedness for the Generalized Surface Quasi-Geostrophic Front Equation
Explore well-posedness of generalized surface quasi-geostrophic front equation using paradifferential normal form analysis and wave packet approach for low regularity solutions.
Nash's C^1 Isometric Embedding Theorem and the Borisov-Gromov Problem - Lecture 3
Explore Nash's C^1 isometric embedding theorem and the Borisov-Gromov problem in Riemannian geometry. Delve into surprising constructions and open questions linked to the Onsager conjecture.
Overview of Numerical Methods: Finite Difference Method
Explore finite difference methods in CFD, covering discretization, mesh types, and equation solving techniques for numerical solutions.
Finite Volume Method for Fluid Flow Calculations: SIMPLE Algorithm - Continued
Explore the SIMPLE algorithm for fluid flow calculations, including under-relaxation techniques and boundary conditions implementation.
Review of Governing Equations: General Scalar Transport Equation
Explore the general scalar transport equation, Gauss divergence theorem, and finite volume approach. Gain insights into classifying physical problems in fluid dynamics.