Global Solutions to the Isentropic Compressible Navier--Stokes Equations with a Class of Large Initial Data
Global Solutions to the Isentropic Compressible Navier--Stokes Equations with a Class of Large Initial Data
In this paper, we consider the global well-posedness problem of the isentropic compressible Navier--Stokes equations in the whole space $\mathbb{R}^N$, with $N\ge2$. It is shown that the one-parameter group $e^{\pm it \Lambda}$ is of great importance to the behaviors of solutions to the isentropic compressible Navier--Stokes equations in the low …