Abstract
We give a refinement of Lemma 2.2 in [D. Hoff, J.A. Smoller, Non-formation of vacuum states for compressible Navier–Stokes equations, Comm. Math. Phys. 216 (2001) 255–276] and complete the proof of non-formation of vacuum states for one-dimensional compressible Navier–Stokes equation given there.
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