this book has a group-theoretic formalization of euler's fluid equations and i love it
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Replying to @sigfig
i dont know why youd ever want to ground fluid mechanics in abstract algebra but i also really appreciate that it happened
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Replying to @sigfig
There's a really beautfiul result where these equations can take a symplectic form via a Hamiltonian presentation.
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Replying to @sigfig
It's literally been 13 years since I derived it, but it's super nifty. This is a very in depth look: https://terrytao.wordpress.com/2010/06/07/the-euler-arnold-equation/ …
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Replying to @EmilyGorcenski @sigfig
But my boundary layers text had a simpler presentation. It's absurdly useful for conservative flows. Like, it removes a constraint.
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Replying to @EmilyGorcenski
i can definitely see how it'd be a useful result, but seeing the derivation will take me a while
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It's not a fast parse, for sure.
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