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Zeitschrift für Analysis und ihre Anwendungen

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Volume 12, Issue 2, 1993, pp. 297–303
DOI: 10.4171/ZAA/565

Published online: 1993-06-30

Axially Symmetric Flow with Finite Cavities II

Friedemann Brock[1]

(1) Universität Leipzig, Germany

An axially symmetric cavity flow of an ideal fluid is moving around an obstacle. The flow is either in a cylindrical pipe or an unbounded region and the cavity may be finite. Essentially is the assumption that the obstacle is star-like with respect to some point on the axis of symmetry. The existence of such flows was proved by the author in Part I. In the present Part lithe behaviour of the free boundaries near the end-point on the axis of symmetry (in the case of a finite cavity) and near infinity (in the case of an infinite cavity) are investigated.

Keywords: Non-continuous functional, symmetrization, axially symmetric flow

Brock Friedemann: Axially Symmetric Flow with Finite Cavities II. Z. Anal. Anwend. 12 (1993), 297-303. doi: 10.4171/ZAA/565