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We investigate exact results of isotropic turbulence in three-dimensions when
the pressure gradient is negligible. We derive exact two-point correlation
functions of density in three-dimensions and show that the density-density
correlator behaves as \break $|x_1-x_2|^{-\alpha_3}$, where
$\alpha_3=2+\frac{\sqrt{33}}{6}$. It is shown that, in three-dimensions, the
energy spectrum $E(k)$ is the inertial range scales with exponent
$2-\frac{\sqrt{33}}{12}\simeq 1.5212$. We also discuss the time scale for which
our exact results are valid for strong 3D-turbulence in the presence of the
pressure. We confirm our predictions by using the recent results of numerical
calculations and experiment.
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