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 the dynamics of the Euler equations on so(4)
Sign Up to like & getrecommendations! Published in 2019 at "Dynamical Systems"
DOI: 10.1080/14689367.2019.1703906
Abstract: This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in . We prove that this differential system has four 3-dimensional invariant manifolds and… read more here.
Keywords: euler equations; dynamics euler; invariant manifolds;