An Introduction to Topological Fluid Dynamics
(7 lectures; 2018)
Lecture 1: Fundamentals of Fluid Flows and Kinematic Transport Theorem
September 24, 2018
Duration: 1:21:10

Lecture 2: Conservation of Linear Momentum and Decomposition of Fluid Flows
September 25, 2018
Duration: 1:34:39

Lecture 3: Circulation and Vorticity Transport Equation
September 26, 2018
Duration: 1:31:26

Lecture 4: Helmholtz’s Conservation Laws and Kinetic Helicity

Lecture 5: Magnetic Helicity and Lorentz Force in Ideal Magnetohydrodynamics
September 28, 2018
Duration: 1:32:53

Lecture 6: Magnetic Energy Relaxation
September 29, 2018
Duration: 1:27:44

Lecture 7: Groundstate Energy of Magnetic Knots and Linking Numbers
September 30, 2018
Duration: 1:52:18
