The Geometry of Axisymmetric Ideal Fluid Flows with Swirl

The sectional curvature of the volume preserving diffeomorphism group of a Riemannian manifold M can give information about the stability of inviscid, incompressible fluid flows on M . We demonstrate that the submanifold of the volumorphism group of the solid flat torus generated by axisymmetric flu...

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Veröffentlicht in:	Arnold mathematical journal 2017-06, Vol.3 (2), p.175-185
Hauptverfasser:	Washabaugh, Pearce, Preston, Stephen C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Axisymmetric flow Conjugate points Criteria Curvature Flow control Fluid dynamics Fluid flow Incompressible flow Manifolds (mathematics) Mathematical analysis Mathematics Mathematics and Statistics Research Contribution Toruses
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