Gd. Chagelishvili et al., EFFECT OF COUPLING AND LINEAR TRANSFORMATION OF WAVES IN SHEAR FLOWS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(6), 1996, pp. 6028-6031
A new linear mechanism of reciprocal transformation of waves and a cor
responding energy transfer in shear flows is discovered. The effect is
demonstrated on the simplest example - the two-dimensional waves in u
nbounded, parallel hydromagnetic flow with uniform velocity shear. The
phenomenon discovered is of importance for magnetohydrodynamics and f
usion plasma devices and for various terrestrial and astrophysical she
ar flows. Grasping the result became possible thanks to the nonmodal a
nalyses of the perturbation evolution in the flow.