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Global Spherically Symmetric Classical Solution to Compressible Navier–Stokes Equations with Large Initial Data and Vacuum

Global Spherically Symmetric Classical Solution to Compressible Navier–Stokes Equations with Large Initial Data and Vacuum

In this paper, we obtain a result on the existence and uniqueness of global spherically symmetric classical solutions to the compressible isentropic Navier–Stokes equations with vacuum in a bounded domain or exterior domain $\Omega$ of $\mathbb{R}^n$($n\ge2$). Here, the initial data could be large. Besides, the regularities of the solutions are …