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Published in 2019 at "Archive for Rational Mechanics and Analysis"
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…
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Keywords:
euler;
vortex dynamics;
dynamics euler;
euler flows ... See more keywords
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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…
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Keywords:
euler equations;
dynamics euler;
invariant manifolds;