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YCor
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Can there be an application of discrete mathematics in PDEs, mainly the ones used in hydrodynamics?

Can there be applications of graph theory, combinatorics etc. in PDEs mainly hydrodynamics?

Tried my luck with Google's search engine, didn't show much info. I guess you can try to use these features of GT and combinatorics in QFT (there's a section in Kaku's book on QFT on forests and skeletons from GT).

And what sort of applications are there?

I am asking, since I am thinking of taking courses in infinite combinatorics, axiomatic set theory and forcing this coming semester, and would like to know if it's not redundant. (As someone who likes to learn a lot it won't be redundant, but I guess I am asking would it have applications to PDE in Hydrodynamics).

I once in my search found a book on categories in continuum mechanics by Lawvere, so perhaps there are such attempts to use algebra and combinatorics in analysis. https://link.springer.com/book/10.1007/BFb0076928

Alan
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