A velocity minimum in a potential fluid flow

Аннотация

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.