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math.AP2022★ 1 cited
Structure of Green's function of elliptic equations and helical vortex patches for 3D incompressible Euler equations
Daomin Cao, Jie Wan
We develop a new structure of the Green's function of a second-order elliptic operator in divergence form in a 2D bounded domain. Based on this structure and the theory of rearrang…
math.AP2022★ 1 cited
Helical vortices with small cross-section for 3D incompressible Euler equation
Daomin Cao, Jie Wan
In this article, we construct traveling-rotating helical vortices with small cross-section to the 3D incompressible Euler equations in an infinite pipe, which tend asymptotically t…
math.AP2022
Desingularization of 3D steady Euler equation with helical symmetry
Daomin Cao, Jie Wan
In this paper, we study desingularization of steady solutions of 3D incompressible Euler equation with helical symmetry in a general helical domain. We construct a family of steady…