This lesson covers the concept of vorticity in hydrodynamics, its evolution equation, and its significance. It uses the example of a hurricane to illustrate the concept of vorticity and how it is affected by velocity fields. The lesson further explains the construction of variables like energy and vorticity from a given velocity field. It also discusses the equation for omega, the curliness of velocity, and the difference between curliness of velocity and magnetic field. The lesson concludes with a discussion on the dynamics of vorticity in 2D and 3D, and its connection with electrodynamics.

- Vorticity is the curl of velocity and is a useful quantity in hydrodynamics.
- The curliness of velocity and magnetic field are different and need to be computed separately.
- The equation for omega, which represents curliness, is important in understanding vorticity.
- In 3D, vorticity can decrease or increase due to stretching by the velocity field.
- In 2D, vorticity has no source and can only be dissipated by viscosity.
- Vorticity has a strong connection with electrodynamics, but the analogy is not one-to-one.

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