Euler equations

Euler equations are fundamental mathematical formulas used to describe how fluids—like air or water—move and change over time. They express the principles of conservation of mass, momentum, and energy in fluid flow, assuming the fluid is ideal (without viscosity or heat conduction). Essentially, they help predict how velocity, pressure, and density evolve in a fluid system. These equations are vital in engineering, aerodynamics, and meteorology—they enable us to understand phenomena like aircraft flight, weather patterns, and ocean currents through modeling and simulation.