Vorticity Courses and Certifications

Steve Brunton

The Curl of a Vector Field - Measuring Rotation

Explore the curl operator in vector calculus, understanding its role in measuring rotation in vector fields and its applications in fluid dynamics, including vorticity and tornado analysis.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Rough Perturbations of the Navier Stokes System

Explore rough perturbations of Navier-Stokes equations, focusing on solution definitions, well-posedness, and physical relevance in terms of conserved quantities.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Fascinating World of Flows - Lecture 6

Explore fluid dynamics, from basic concepts to turbulence, connecting theory with everyday phenomena like river patterns and cloud formation. Gain insights into the behavior of flows in nature and daily life.

• YouTube
• 1 hour 59 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Fascinating World of Flows - Lecture 7

Explore fluid dynamics, from basic concepts to turbulence, connecting theory with everyday phenomena like river patterns and cloud formation. Gain insights into the behavior of flows in nature and daily life.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Fascinating World of Flows - Lecture 4

Explore fluid dynamics, from basic concepts to instability and turbulence. Connect theory with everyday phenomena like river patterns, cloud formation, and mixing processes in this engaging lecture series.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Fascinating World of Flows - Lecture 4

Explore fluid dynamics, instability, and turbulence in everyday phenomena. Learn to describe flows and their impacts, from river patterns to cloud formation and mixing processes.

• YouTube
• 1 hour 38 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

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.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Mean Field Results in Fluid Mechanics - Lecture 2

Explore advanced mean field techniques in fluid mechanics, focusing on stochastic and deterministic analysis for irregular models in mathematics.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Scaling Laws and Force Balances in Rotating Convection - Are They Consistent?

Delve into the relationship between scaling laws and force balances in rotating convection systems, exploring theoretical predictions and numerical simulation results in planar and spherical geometries.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Harvard CMSA

Characteristic Initial Value Problem for the 3D Compressible Euler Equations

Delve into advanced mathematical analysis of 3D compressible Euler equations, focusing on characteristic initial value problems, vectorfield methods, and Sobolev norm regularity theory.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Harvard CMSA

Rough Solutions of the Relativistic Euler Equations

Delve into advanced mathematical analysis of relativistic Euler equations, exploring geometric formulation, sound-wave decomposition, and nonlinear geometric optics in relation to rough solutions and dynamic vorticity.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Conference GSI

A Discrete Version for Vortex Loops in 2D Fluids

Explore a discrete model for vortex loops in two-dimensional fluid dynamics, examining mathematical concepts and computational applications.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

BIMSA

Smooth Transonic Flows and Mixed Type Equations - ICBS 2024

Explore smooth steady transonic flows in compressible Euler equations, focusing on mixed types, degeneracy, and challenges in proving existence for flows with rotations and non-zero vorticities.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Definition of Spin Charge in Asymptotically-Flat Spacetimes

Explore a novel approach to defining spin charge in asymptotically-flat spacetimes using generalized-BMS algebra, coadjoint orbits, and vorticity concepts.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

INI Seminar Room 2

Large-Scale Structure Formation by Turbulent Kinetic Helicity

Delve into turbulent kinetic helicity's role in large-scale structure formation, exploring mathematical models of rotating turbulence and applications in geophysical and astrophysical flows.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video