| Abstract: |
| In this talk, we first introduce recent progress of the existence of concentrated helical vortices of 3d incompressible Euler equations when the orthogonality condition holds. Then, in case that the orthogonality condition fails, we prove the existence of concentrated helical vortices of 3d incompressible Euler equations in infinite cylinders. As parameter $\varepsilon\to0$, the vorticity concentrates near a helix evolved by the vortex filament equations. |
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