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Negative Sobolev regularity and optimal decay for the fractional Navier--Stokes--Poisson system
We study the Cauchy problem in $\R^{3}$ for the repulsive compressible Navier-Stokes-Riesz system with Riesz exponent $0<s<1$ and viscosity $0<\varepsilon\leq1$, where the Riesz interaction $\nabla(-Δ)^{-s}(ρ-\barρ)$ is a generalization of the Coulomb interaction for electrons. For small perturbatio
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