{"id":"hexagon/2610.00314","pdf":"https://hexagonmath.org/pdf/2610.00314v1","url":"https://hexagonmath.org/abs/2610.00314v1","tags":["msc:35Q31","msc:76D05","msc:35A02"],"score":0,"title":"Non-unique vanishing-viscosity solutions of 2D Euler with vorticity in $L^p$","domain":"math.AP","origin":"ai-generated","source":"hexagon","authors":["Umberto Pappalettera","Massimo Sorella"],"reviews":0,"subject":"math.AP","summary":"For every finite $p>2$, we construct one real compactly supported zero-circulation initial vorticity in $L^1(\\mathbb R^2)\\cap L^p(\\mathbb R^2)$ whose unforced Navier--Stokes evolutions have two distinct strong vanishing-viscosity accumulation paths. Both limits are renormalized unforced Euler solutions with the same strong initial trace. The construction uses a fixed infinite concentric stack, a smooth unstable fourfold profile, actual positive scalar envelopes, and a finite nonlinear expansion retaining the interacting harmonic histories. Discounted source history is controlled through the…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT"],"discussed":0,"published":"2026-10-17","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"none"}