Wm. G. Hoover, Carol G. Hoover
Dufty, Lee, Lutsko, Montanero, and Santos have carried out stability analyses of steady stationary shear flows. Their approach is based on the compressible and heat conducting Navier-Stokes-Fourier model. It predicts the unstable exponential growth of long-wavelength transverse perturbations for both two- and three-dimensional fluids. We point out that the patently-stable two-dimensional periodic shear flows studied earlier by Petravic, Posch, and ourselves contradict these predicted instabilities. The stable steady-state shear flows are based on nonequilibrium molecular dynamics with simple thermostats maintaining nonequilibrium stationary states in two space dimensions. The failure of the stability analyses remains unexplained.
View original:
http://arxiv.org/abs/1203.1374
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