$L^2-L^{\infty }$ decay estimates and inviscid limits for Global smooth solutions to the compressible Navier-Stokes-Riesz system

Agnieszka Świerczewska-Gwiazda, Yuan Xu, Junhao Zhang

We study the Cauchy problem in ${\mathbb{R}}^3$ for the repulsive compressible Navier-Stokes-Riesz system with Riesz exponent $0<s<1$ and viscosity $0<\epsilon \le 1$, where the…