A velocity minimum in a potential fluid flow


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Abstract

An example of three-dimensional potential flow of an inviscid incompressible fluid is presented, in which the point of a strict non-zero local minimum of velocity is an internal point of the flow. This proves the impossibility to extend to a three-dimensional flow the two-dimensional velocity minimum principle, according to which in plane potential flows of incompressible fluid the flow velocity cannot have a local non-zero minimum at an internal point.

About the authors

G. B. Sizykh

Moscow Institute of Physics and Technology (State University)

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Email: o1o2o3@yandex.ru
Russian Federation, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700

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