Short-time behavior of advecting-diffusing scalar fields in Stokes flows
This article addresses the short-term decay of advecting-diffusing scalar fields in Stokes flows. The analysis is developed in two main subparts. In the first part, we present an analytic approach for a class of simple flow systems expressed mathematically by the one-dimensional advection-diffusion equation w(y)∂ξ=É∂y2+iV(y)-É′, where ξ is either time or axial coordinate and iV(y) an imaginary pot
