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The inviscid limit of 2D Navier-Stokes near a self-similar vortex collapse

Nguyen, Trinh T.
arXiv (All) · Papers
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analysis-of-pdesmathematical-physics
We study the inviscid limit of the two-dimensional Navier--Stokes equations with initial vorticity given by three point vortices whose inviscid trajectories collapse self-similarly at $t=1$. For every fixed $0<γ<1$, we prove that the solution is approximated by a superposition of Lamb--Oseen vortice
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