The Navier-Stokes equations describe how fluids, like air and water, move. They are fundamental in physics and engineering, helping to predict weather patterns, ocean currents, and the flow of air around airplanes. However, proving that solutions to these equations always exist and are smooth (without any abrupt changes) in three dimensions is a major unsolved problem in mathematics. The challenge of Navier-Stokes Existence and Smoothness is part of the Millennium Prize Problems, a set of seven important mathematical questions. A solution could enhance our understanding of fluid dynamics and has significant implications for various scientific and engineering fields.