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An article in Quanta Magazine discusses the math behind the Navier Stokes equations, why they are so difficult to solve and whether they truly represent fluid flow:
https://www.quantamagazine.org/what-makes-the-hardest-equations-in-physics-so-difficult-20180116/
https://www.quantamagazine.org/what-makes-the-hardest-equations-in-physics-so-difficult-20180116/