Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations
Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations
In this paper, we consider the linearized compressible Navier-Stokes equations in the whole space $\mathbb{R}^n$. Concerning initial datum with suitable regularities, we introduce a new threshold $|\mathbb{B}_0|=0$ to distinguish different large-time behaviors. Particularly in the lower-dimensions, optimal growth estimates ($n=1$ polynomial growth, $n=2$ logarithmic growth) hold when $|\mathbb{B}_0| > 0$, …