Navier–Stokes equations

The Navier–Stokes equations are a set of nonlinear partial differential equations that describe the motion of fluid substances such as liquids and gases. They are fundamental in the field of fluid mechanics and are used to model various phenomena, from the flow of air around an aircraft to ocean currents and weather patterns. The equations take into account several factors, including: 1. **Conservation of mass** - The fluid's mass cannot change within a closed system (continuity equation).