PDF's Of The Burgers Equation On The Semiline With Fluctuating Flux At The Origin
Jahanshah Davoudi, Shahin Rouhani
Abstract
We derive the asymptotic behaviour of the one point probability density for the inhomogeneous shock slopes in the turbulent regime, when a Gaussian fluctuating flux at origin derives the system. We also calculate the time dependence of the xf beyond which there won't exists any velocity shocks as xf t3/4(logt)1\4. We argue that the stationary state of the problem would be equivalent with the long time limit of the diffusion equation with arandom source at origin.
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