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Momentum-scalar coupled turbulence with anomalous momentum and scalar diffusions. Part 1: Without external force and with long-range external force
We present a theoretical model for momentum--scalar coupled turbulence in which both fields undergo anomalous diffusion, described by fractional biharmonic operators of orders $γ/4$ and $α/4$, respectively. Focusing on the long-range external forcing or unforced turbulence, we derive analytical expr
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