Leonhard Euler discovered the fluid equations that now bear his name in 1757. They describe the evolution of a fluid over time, just as Newton’s equations describe the motion of a billiard ball on a ...

Inviscid: Describes a fluid with zero viscosity, idealised in the Euler equations. Viscous: Refers to fluids whose flow behaviour is influenced by internal friction, as captured by the Navier ...

The Euler equations describe an idealized world in which fluids have a number of properties not found in reality. The equations assume, for example, that fluids have no viscosity (internal currents ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. Now there’s a breakthrough.

When Euler set x equal to p, this equation made it easy to calculate the value of e ip. The cosine of p equals –1, and the sine of p equals 0. So e in = (–1) + i (0).

Matthew Novack, assistant professor of mathematics, and his new book, “Intermittent Convex Integration for the 3D Euler Equations. ... translate them into mathematical properties for solutions of the ...

Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as "the most beautiful equation." It is a special case of a foundational ...