The Navier-Stokes Equations describe how fluids (liquids and gases) move. They are fundamental in the field of fluid dynamics and are used to model various phenomena, from weather patterns to ocean currents. These equations account for forces like viscosity and pressure, making them essential for understanding fluid behavior in both natural and engineered systems.
Solving the Navier-Stokes Equations can be quite complex, and they are known for their non-linear characteristics. Despite their importance, a complete mathematical solution for all cases remains an open problem in mathematics, making them a central topic in the study of mathematical physics.