Let T be an invertible transformation of a Borel space X with a-nite quasi-invariant measure m. One can single out the following natural types of behaviour of T on a measurable subset A X: 1) A is invariant, i.e. TA = A; 2) A is recurrent, i.e., for a.e. point x 2 A there is n = n(x) > 0 such that T n x 2 A; 3) A is wandering, i.e., all its translations are pairwise disjoint (so that a.e. point...

The linear stability of plane Couette flow past a deformable solid is analyzed in the creeping-flow limit with an objective towards elucidating the consequences of employing two widely different formulations for the dissipative stresses in the deformable solid. One of the formulations postulates that the dissipative stress is proportional to the strain-rate tensor based on the left Cauchy-Green...