Does a smooth Navier-Stokes solution always exist? | Manifold

Does a smooth Navier-Stokes solution always exist?

#Math #Millennium Prize Problems

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https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_existence_and_smoothness

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Terence Tao on record saying he thinks NO.

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"Does a smooth Navier-Stokes solution always exist?"

Does a smooth Navier-Stokes solution always exist?

predicts YES

We proceed by contradiction.

If it were false, there would be counterexamples. Some people are smart and would find them.

They have not.

Thus all theorems and conjectures are true.

- Gigacasting’s First Law of Millennium Prizes and Other Famous Theorems

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