On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities

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Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations (2010, background): “1 ( [4]) For ρ̃ ≥ 0, assume that the initial data (ρ0 ≥ 0, u0) satisfy (1.”
On Blowup of Classical Solutions to the Compressible Navier-Stokes Equations (2013, background): “1) has been studied extensively in[2, 1, 5, 3, 6, 8, 7, 14, 15, 17, 18, 19, 20, 22, 10, 11, 12, 13, 16] and the references therein.”