Geodesic
Some methodical remarks concerning the flow around arbitrary profiles
Applications of Mathematics, Tome 27 (1982) no. 4, pp. 251-258
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Two well known definitions of the flow of a plane vector field around the boundary of a region $\Omega$ are compared. The definition (appropriately arranged) based on the constantness of the stream function on every profile is not only invariant under conformal mappings but more general than the definition based on the vanishing of the normal component of the field on $\partial \Omega$.
Two well known definitions of the flow of a plane vector field around the boundary of a region $\Omega$ are compared. The definition (appropriately arranged) based on the constantness of the stream function on every profile is not only invariant under conformal mappings but more general than the definition based on the vanishing of the normal component of the field on $\partial \Omega$.
DOI : 10.21136/AM.1982.103970
Classification : 30C35, 76B10, 76B99
Keywords: flow of plane vector field around boundary of region; conformal mappings 
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Černý, Ilja. Some methodical remarks concerning the flow around arbitrary profiles. Applications of Mathematics, Tome 27 (1982) no. 4, pp. 251-258. doi: 10.21136/AM.1982.103970

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