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| Paper IPM / Physic / 6767 |
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| Abstract: | |||||||||||
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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., 〈ρ(x1)ρ(x2) |∆u〉 ∼ |x1−x2|−α3, is calculated
self-consistently in the nonuniversal region from which we obtain
α3=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 one-point urms is
developed.
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