Global well-posedness for the 3D compressible Navier-Stokes equations in optimal Besov space

Zihua Guo, Zihao Song, Minghua Yang

We consider the Cauchy problem to the 3D barotropic compressible Navier-Stokes equation. We prove global well-posedness, assuming that the initial data $({\rho }_0-1,u_0)$ has small norm…