@article{e8563b0636814f34aa40a979bae7449f,
title = "Existence of helical symmetry vortex patch with small cross-section for the incompressible Euler equations in R3",
abstract = "In this paper, we construct a family of traveling-rotating helical symmetry vortex patches to the incompressible Euler equations in R3, which tend asymptotically to singular helical vortex filament evolving by the binormal curvature flow. The construction is achieved by maximizing the energy functional over certain constraint and studying carefully asymptotic behavior of maximizers.",
keywords = "Helical symmetry vortex, Incompressible Euler equation, Patch type solutions, Variational methods",
author = "Daomin Cao and Rui Li and Guolin Qin and Jie Wan",
note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",
year = "2025",
month = feb,
day = "15",
doi = "10.1016/j.jde.2024.11.044",
language = "English",
volume = "418",
pages = "459--495",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
}