Abstract
We consider a 2D vorticity configuration where vorticity is highly concentrated around a curve and exponentially decaying away from it: the intensity of the vorticity is O(1/ε) on the curve while it decays on an O(ε) distance from the curve itself. We prove that, if the initial datum is of vortex-layer type, Euler solutions preserve this structure for a time that does not depend on ε. Moreover, the motion of the center of the layer is well approximated by the Birkhoff-Rott equation.
Original language | English (US) |
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Pages (from-to) | 2104-2179 |
Number of pages | 76 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 73 |
Issue number | 10 |
DOIs | |
State | Published - Oct 1 2020 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics