They find an explosion in fluid equations thanks to deep learning

The Euler's equations, proposed in 1752, and those of Navier-Stokes –between 1822 and 1842– are fundamental tools to describe, in mathematical terms, the behavior of incompressible fluids –that is, those that cannot be compressed, such as water–. They allow us to understand natural phenomena como el flujo de los ríos o la ruptura de las olas. However, solving these equations – even with the help of powerful computers – is very difficult and expensive. Even 250 years after being written, they represent a mathematical mystery.

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Representación de la simulación de Luo y Hou, en la que el fluido se desplaza dentro de un cilindro