I tried to prove this problem using the Helmholtz decomposition theorem, but it seems the two are entirely contradictory--thus leaving me with empty hands. Does anyone know how to proceed?
Thanks
Moehringer
2026-03-27 02:50:53.1774579853
Is a curl-free vector field always a gradient?
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Read an answer here: Helmholtz decomposition contradictions PDF https://www.academia.edu/34072970/Helmholtz_Decomposition_Remains_Opened_for_Future_Researchers