Year: 2026
Type: preprint
Abstract: 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 vortices centered at the point-vortex positions, with an $L^1$ error of order $O(ν^{1-γ})$, uniformly for $0
Source: arXiv (Cornell University)
Author: Nguyen, Trinh T.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223040430