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Lagrangian singularities of steady two-dimensional flow |
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| Authors: | Walter Pauls Takeshi Matsumoto |
| Affiliation: | 1. Observatoire de la C?te d'Azur , CNRS UMR 6202 , BP 4229, 06304 Nice Cedex 4, France;2. Fakult?t für Physik , Universit?t Bielefeld, Universit?tsstra?e 25 , 33615 Bielefeld, Germany walter.pauls@physik.uni-bielefeld.de;4. Dep. Physics , Kyoto University, Katashirakawa Oiwakecho Sakyo-ku , Kyoto 606-8502, Japan |
| Abstract: | The Lagrangian complex-space singularities of the steady Eulerian flow with stream function sin x 1 cos x 2 are studied by numerical and analytical methods. The Lagrangian singular manifold is analytic. Its minimum distance from the real domain decreases logarithmically at short times and exponentially at large times. |
| Keywords: | Lagrangian coordinates Singular manifold |