Three-dimensional forced Burgers turbulence supplemented with a continuityequation - art. no. 056308

We investigate turbulent limit of the forced Burgers equation supplemented with a continuity equation in three dimensions. The scaling exponent of the conditional two-point correlation function of density, i.e., [rho (x(1))rh o (x(2))\ Deltau] similar to \x(1) - x(2)\(-alpha3), is calculated self-con sistently in the nonuniversal region from which we obtain alpha (3)=3 Also we derive an equation governing the evolution of the probability density fu nction (PDF) of longitudinal velocity increments in length scale, from whic h a possible mechanism for the dependence of the inertial PDF to one-point u(rms) is developed.