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.
Nonlocal Evolution Equations - Rothschild Lecture
Explore nonlocal evolution equations, focusing on Surface Quasi-Geostrophic equation and its generalizations. Examine regularity, long-term dynamics, and dissipation in 2D SQG.
On Archimedes' Principle - Rothschild Public Lecture
Explore Archimedes' Principle with Professor Krzysztof Burdzy in this Rothschild Public Lecture. Gain insights into stochastic systems and anomalous diffusion in mathematical sciences.
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.
Finite Volume Method for Fluid Flow Calculations: The Staggered Grid Approach
Learn the staggered grid approach and SIMPLE algorithm for fluid flow calculations using the Finite Volume Method.
Finite Volume Method for Fluid Flow Calculations - SIMPLE Algorithm
Explore the SIMPLE algorithm for fluid flow calculations using finite volume method on staggered grids through code demonstration.
Finite Volume Method for Diffusion Equation - Linearization of Source Term and Line-by-Line TDMA
Explore TDMA algorithm, Line by Line TDMA, and source term linearization in finite volume methods for diffusion equations.
Finite Volume Method for Convection and Diffusion - Discretization of Steady Convection Equation
Explore discretization techniques for steady convection equations, focusing on upwind difference schemes and accuracy analysis for convection-diffusion problems.
From Alan Turing to Contact Geometry: Towards a Fluid Computer
Explore the intersection of hydrodynamics, computation, and contact geometry. Discover how fluid dynamics can simulate universal Turing machines and its implications for undecidable fluid paths and celestial mechanics.
From Linking Numbers to Vortex Motion and Torus Knots - Lecture 3
Explore advanced concepts in topological vortex dynamics, linking numbers, vortex motion, and torus knots in this comprehensive scientific lecture.
On Quantum Vortex Knots and Links
Explore quantum vortex knots and links in this advanced seminar, delving into cutting-edge research on quantum topology and its applications.
The Beautiful Interplay of Topology and Physics
Explore the fascinating connection between topology and physics, uncovering how mathematical concepts shape our understanding of the physical world.
Finite Volume Method for Diffusion Equation - Problem Solving Using TDMA
Solve diffusion equation problems using Finite Volume Method and TDMA. Learn source term linearization and tackle example problems.
Overview of Numerical Methods: Finite Volume Method
Explore the finite volume method, a crucial numerical technique for solving partial differential equations in engineering and scientific applications.
Finite Volume Method for Diffusion Equation - Discretization of 2D Steady Diffusion Equation
Explore discretization techniques for 2D steady diffusion equations using the Finite Volume Method, enhancing your understanding of numerical methods in computational fluid dynamics.