Knots and links in steady solutions of the Euler equation

• 成果类型: Article
• 署名作者: Enciso, Alberto; Peralta-Salas, Daniel
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.1.9
• 发表日期: 2012
• 页码: 345-367
• 关键词: topology; equilibria; number

摘要

Given any possibly unbounded, locally finite link, we show that there exists a smooth diffeomorphism transforming this link into a set of stream (or vortex) lines of a vector field that solves the steady incompressible Euler equation in R-3. Furthermore, the diffeomorphism can be chosen arbitrarily close to the identity in any C-r norm.