An Introduction to Topological Fluid Dynamics

(7 lectures; 2018)

Lecture 1: Fundamentals of Fluid Flows and Kinematic Transport Theorem

Lecture 2: Conservation of Linear Momentum and Decomposition of Fluid Flows

Lecture 3: Circulation and Vorticity Transport Equation

Lecture 4: Helmholtz’s Conservation Laws and Kinetic Helicity

Lecture 5: Magnetic Helicity and Lorentz Force in Ideal Magnetohydrodynamics

Lecture 6: Magnetic Energy Relaxation

Lecture 7: Groundstate Energy of Magnetic Knots and Linking Numbers

30/03/2023