ON THE STRUCTURE OF HYDRODYNAMIC AND ELECTRODYNAMICS 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,