“Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don’t know what it means. But we have proved it, and therefore we know it must be the truth.” —Benjamin ...

Many people find complex math puzzling, including some mathematicians. Recently, a mathematician has found solutions to a puzzle that has been around for centuries. They have found a way to generate ...

The Euler equations constitute a fundamental set of hyperbolic partial differential equations that describe the motion of an inviscid fluid. In gas dynamics, these equations are instrumental in ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.

Stability theory occupies a central role in the analysis of differential equations and wave equations, serving as the cornerstone for understanding the long‐term behaviour of dynamical systems. At its ...