The linear convex log-homotopy has been used in the derivation of particle flow filters. One natural question is whether it beneficial to consider other forms homotopy. We revisit this by considering a general form for which we derive filters, validate distribution flows, and obtain conditions stability flows. then formulate problem stiffness mitigation as an optimal control minimizing conditio...

The pressure moment of a rigid particle is defined to be the trace of the first moment of the surface stress acting on the particle. A Fax&r law for the pressure moment of one spherical particle in a general low-Reynolds-number flow is found in terms of the ambient pressure, and the pressure moments of two rigid spheres immersed in a linear ambient flow are calculated using multipole expansions...