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math.AP2024
On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl
Guolin Qin, Jie Wan
In this paper, we consider the existence of concentrated helical vortices of 3D incompressible Euler equations with swirl. First, without the assumption of the orthogonality condit…
math.AP2024
Expansion of Green's function and regularity of Robin's function for elliptic operators in divergence form
Daomin Cao, Jie Wan
We consider Green's function of the elliptic operator in divergence form on a bounded smooth domain $ Ω\subseteq\mathbb{R}^n (n\g…