Long Wavelength Instability for Uniform Shear Flow
M. Lee, J. W. Dufty, J. M. Montanero, A. Santos, and J. F. Lutsko, "Long Wavelength Instability for Uniform Shear Flow", Phys. Rev. Lett., 76, 2702 (1996) http://jimlutsko.github.io/files/Lutsko_1996_1.pdf
Uniform shear flow is a prototype nonequilibrium state admitting detailed study at both the macroscopic and microscopic levels via theory and computer simulation. It is shown that the hydrodynamic equations for this state have a long wavelength instability. This result is obtained first from the Navier-Stokes equations and shown to apply at both low and high densities. Next, higher order rheological effects are included using a model kinetic theory. The results are compared favorably to those from Monte Carlo simulation.