# On turbulence and geometry: from Nash to Onsager

## TL;DR

This paper surveys recent advances connecting fluid dynamics and differential geometry, focusing on Onsager's conjecture and Nash's work on isometric embeddings, highlighting interdisciplinary progress.

## Contribution

It introduces the novel connection between Onsager's conjecture in fluid dynamics and Nash's isometric embedding theorem in geometry.

## Key findings

- Progress in understanding Onsager's conjecture
- Relations between turbulence and geometric embeddings
- Interdisciplinary insights in mathematics and physics

## Abstract

This article is a short nontechnical survey of recent progresses in fluid dynamics and differential geometry, relating a conjecture of Lars Onsager to the work of Nash on isometric embeddings.