The summary is:
The text is a transcript of a video about the most difficult equation in physics, the Navier-Stokes equations, which describe the movement of fluids. The video explains what fluids are, how they have properties like viscosity, density and pressure, and how they can form complex patterns like turbulence. The video also mentions that turbulence is one of the most challenging problems in classical physics, and that there is a million-dollar prize for anyone who can prove that the Navier-Stokes equations have a smooth and consistent solution. The video ends with a promotion of a partnership with Uniasselvi, an online education platform.
Here are the key facts extracted from the text:
- The text is a transcript of a video about the most difficult equation in physics, the Navier-Stokes equations, which describe the movement of fluids and turbulence.
- The video is made in partnership with Uniasselvi, a Brazilian educational institution.
- The Navier-Stokes equations are based on Newton's second law and the conservation of mass, but they are non-linear and have no general solution that can predict the behavior of fluids in all situations.
- Turbulence is a complex and chaotic phenomenon that occurs when fluids move at high speeds or encounter obstacles, and it affects many aspects of our daily lives, such as weather, aviation, and engineering.
- The Clay Mathematics Institute offers a prize of one million dollars for anyone who can prove that a smooth and physically realistic solution to the Navier-Stokes equations exists or does not exist.