 NSFPAR ID:
 10471088
 Editor(s):
 Tobias Ekholm
 Publisher / Repository:
 International Press
 Date Published:
 Journal Name:
 Acta Mathematica
 Volume:
 230
 Issue:
 2
 ISSN:
 00015962
 Page Range / eLocation ID:
 321 to 399
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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Shatah, Jalal (Ed.)We prove asymptotic stability of point vortex solutions to the full Euler equation in two dimensions. More precisely, we show that a small, Gevrey smooth, and compactly supported perturbation of a point vortex leads to a global solution of the Euler equation in 2D, which converges weakly as $t\to\infty$ to a radial profile with respect to the vortex. The position of the point vortex, which is time dependent, stabilizes rapidly and becomes the center of the final, radial profile. The mechanism that leads to stabilization is mixing and inviscid damping. © 2021 Wiley Periodicals LLC.more » « less

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