# On the role of continuous symmetries in the solution of the 3D Euler fluid equations and related models

@inproceedings{Bustamante2021OnTR, title={On the role of continuous symmetries in the solution of the 3D Euler fluid equations and related models}, author={M. Bustamante}, year={2021} }

We review the continuous symmetry approach and apply it to find the solution, via the construction of constants of motion and infinitesimal symmetries, of the 3D Euler fluid equations in several instances of interest, without recourse to Noether’s theorem. We show that the vorticity field is a symmetry of the flow and therefore one can construct a Lie algebra of symmetries if the flow admits another symmetry. For steady Euler flows this leads directly to the distinction of (non-)Beltrami flows… Expand

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