Distortion of Velocity Gradient by Anomalous Viscosity

The problem of distortion of velocity gradient by anomalous viscosity of weak electrostatic turbulent plasma is considered. Linear and nonlinear models are employed and several examples are solved. It is shown that the velocity gradient is smoothed out as a result of the momentum transfer by anomalous viscosity. Furthermore, the rate of decay is faster for the linear model when compared with the nonlinear one.