Long-Sought Proof Tames Some of Math’s Unruliest Equations

The trajectory of a storm, the evolution of stock prices, the spread of disease — mathematicians can describe any phenomenon that changes in time or space using what are known as partial differential equations. But there’s a problem: These “PDEs” are often so complicated that it’s impossible to solve them directly. Mathematicians instead rely on a clever workaround. They might not know how to…

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