Yuan Xu

Negative Sobolev regularity and optimal decay for the fractional Navier--Stokes--Poisson system

We establish global well-posedness and sharp higher-order decay estimates for the fractional compressible Navier--Stokes--Poisson system in $\R^{3}$ with fractional Lam\'e--Navier dissipation $\Lame^\alpha u$ with $\alpha\in[1/2,1]$, and Riesz coupling $\Lambda^{2\beta}\phi=\rho-\bar{\rho}$ with $\beta\in[0,1]$, where...