Maximal double-exponential growth for the Euler equation on the half-plane

• 成果类型: Article; Early Access
• 署名作者: Zlatos, Andrej
• 署名单位: University of California System; University of California San Diego
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-025-01374-5
• 发表日期: 2025
• 关键词: vorticity gradient

摘要

We show that smooth solutions to the Euler equation on the half-plane can exhibit double-exponential growth of their vorticity gradients. We also determine the maximal possible growth rate and construct solutions that saturate it. These are the first such results on an unbounded resp. any 2D domain.