Gluing Methods for Vortex Dynamics in Euler Flows
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DOI: 10.1007/s00205-019-01448-8
Abstract: A classical problem for the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain is that of finding regular solutions with highly concentrated vorticities around N moving vortices . The formal dynamic… read more here.
Keywords: euler; vortex dynamics; dynamics euler; euler flows ... See more keywords
On 2D steady Euler flows with small vorticity near the boundary
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DOI: 10.1016/j.jde.2020.07.035
Abstract: Abstract In this paper, we investigate steady incompressible Euler flows with nonvanishing vorticity in a planar bounded domain. Let q be a harmonic function that corresponds to an irrotational flow. This paper proves that if… read more here.
Keywords: flows small; small vorticity; steady euler; euler flows ... See more keywords
Azimuthal-mode solutions of two-dimensional Euler flows and the Chaplygin–Lamb dipole
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.892
Abstract: Exact solutions for multipolar azimuthal-mode vortices in two-dimensional Euler flows are presented. Flow solutions with non-vanishing far-field velocity are provided for any set of azimuthal wavenumbers $m$ and arbitrary number $n$ of vorticity shells. For… read more here.
Keywords: chaplygin lamb; euler flows; dipole; two dimensional ... See more keywords
Eroding dipoles and vorticity growth for Euler flows in ${{\mathbb{R}}}^{3}$: the hairpin geometry as a model for finite-time blowup
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DOI: 10.1088/1873-7005/aa9880
Abstract: This is the author accepted manuscript. The final version is available from IOP Publishing via the DOI in this record. read more here.
Keywords: eroding dipoles; euler flows; vorticity growth; dipoles vorticity ... See more keywords