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1. Introduction. The main purpose of this work is to reveal a paradox associated with a linearized version of a complex system of coupled differential equations frequently encountered in the recently established field of microcontinuum fluid mechanics. This is an extension of the interesting classical result of Olmstead , who showed that for a rather large class of approximations to the Navier-Stokes equations, the drag experienced by any body translating with constant velocity remainsdoi:10.1090/qam/592202 fatcat:h5ow3vgm5ngp3o5dwf4s2eubfa