Year: 2026
Type: preprint
Abstract: These notes present the construction in \cite{euler} of finite-time blowup for the three-dimensional incompressible, unforced Euler equations on $\mathbb R^3$: \begin{equation} \partial_tu+(u\cdot\nabla)u+\nabla p=0,\qquad \nabla\cdot u=0. \end{equation} The construction successively adds oscillatory layers to smooth parent solutions. Each layer is constructed by a finite expansion and an exact correction, so that the resulting child solves Euler.
Source: arXiv (Cornell University)
Author: Zheng, Fan
Institution: Institute of Mathematical Sciences
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220409167