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Paper IPM / P / 6767  


Abstract:  
We investigate turbulent limit of the forced Burgers equation
supplemented with a continuity equation in three dimensions. The
scaling exponent of the conditional twopoint correlation function
of density, i.e., 〈ρ_{(x1)}ρ_{(x2)} ∆u〉 ∼ x_{1}−x_{2}^{−α3}, is calculated
selfconsistently in the nonuniversal region from which we obtain
α_{3}=3. Also we derive an equation governing the evolution
of the probability density function (PDF) of longitudinal velocity
increments in length scale, from which a possible mechanism for
the dependence of the inertial PDF to onepoint u_{rms} is
developed.
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