Mathematicians Prove Melting Ice Stays Smooth

The full title and subtitle is

“ Mathematicians Prove Melting Ice Stays Smooth:

After decades of effort, mathematicians now have a complete understanding of the complicated equations that model the motion of free boundaries, like the one between ice and water.”

Hard to think of a more concise and accurate way to describe the problem. The article does a nice job describing the problem, and like all quanta articles links the arxiv paper in the first few paragraphs

https://arxiv.org/abs/2103.13379

The title is to catch your interest, the subtitle provides an accurate summary, if you have a more advanced understanding of math the arxiv link is included at the beginning, otherwise the article is a nice summary…