Return to Colloquia & Seminar listing
Vortex stretching in head-on collision of vortex rings
PDE and Applied Math Seminar| Speaker: | In-Jee Jeong, Korea Institute for Advanced Study |
| Location: | Zoom |
| Start time: | Thu, Mar 31 2022, 4:10PM |
We investigate the head-on collision scenario of antiparallel vortex rings using the axisymmetric Euler equations. Under no-swirl and sign assumptions on the initial vorticity, we obtain a universal lower bound on the vortex impulse growth for all times. Key ingredients are special monotonicity formulas and interpolation inequalities involving conserved and monotone quantities of the fluid. As a consequence, we obtain various infinite norm growth results for solutions to the Euler equations, including infinite vortex stretching in infinite time. (Joint work with Kyudong Choi, UNIST.)