On the Structure of Hydrodynamic and Electrodynamic Fields. Part I. Vector Expansions in Rectangular Coordinates

摘要

In a previous paper the author discussed the linear component fields appearing in the Taylor expansion of an arbitrary solenoidal vector. The present work complements these fields to include those vectors with a non-vanishing divergence. The second and third order fields are treated extensively for both the solenoidal and divergence cases. A general scheme for treating higher order fields is also presented. Field structures are pictorially elucidated by means of figures showing vector lines of force. (Author)