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Navier-Stokes Equations with Fractional Dissipation and Associated Doubly Stochastic Yule Cascades

Dascaliuc, Radu et al.
arXiv (All) · Papers
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35a0135a0235q3060g1860h3060j80analysis-of-pdesprobability
We introduce a self-similar doubly stochastic Yule (DSY) cascade associated with the deterministic Navier-Stokes equations (NSE) in $\mathbb{R}^d$ with fractional dissipation $(-Δ)^γ$. Interestingly, such a structure is well-defined only in the scaling-supercritical regime $γ\in(\frac{1}{2},\frac{d+
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