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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
Helical kelvin waves for the 3D Euler equation
Daomin Cao, Boquan Fan, Rui Li +1
Helical Kelvin waves were conjectured to exist for the 3D Euler equations in Lucas and Dritschel \cite{LucDri} (as well as in \cite{Chu}) by studying dispersion relation for infini…
math.AP2023★ 2 cited
Method of scaling spheres: Liouville theorems in inner or outer (unbounded or bounded) generalized radially convex domains, blowing-up analysis on domains with not necessarily boundary and other applications
Wei Dai, Guolin Qin
In this paper, we aim to introduce the method of scaling spheres (MSS) as a unified approach to Liouville theorems on general domains in , and apply it to establish Li…