Another note on forced burgers turbulence

Weinan E, Eric Vanden Eijnden
2000 Physics of Fluids  
The power law range for the velocity gradient probability density function in forced Burgers turbulence has been an issue of discussion recently. It is shown in [chao-dyn/9901006] that the negative exponent in the assumed power law range has to be strictly larger than 3. Here we give another direct argument for that result, working with finite viscosity. At the same time we compute viscous correction to the power law range. This should answer the questions raised by Kraichnan in [chao-dyn/9901023] regarding the results of [chao-dyn/9901006].
doi:10.1063/1.870288 fatcat:5qlwex443rb6zdh5amk44ovh2e