Lagrangian singularities of steady two-dimensional flow

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.

19 pages, 6 figures, revised version

Cited by in corpus (6)

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• Nature of complex singularities for the 2D Euler equation
• The analytic structure of 2D Euler flow at short times
• Complex-space singularities of 2D Euler flow in Lagrangian coordinates
• Entire solutions of hydrodynamical equations with exponential dissipation
• On complex singularities of the 2D Euler equation at short times