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A note on the non-formation of vacuum states for compressible Navier-Stokes equations
Authors:Ran Duan  Yinchuan Zhao
Institution:a Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China
b Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, The Chinese Academy of Sciences, Beijing 100080, China
c Graduate School of the Chinese Academy of Sciences, Beijing 100039, China
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.
Keywords:Compressible Navier-Stokes equations  Vacuum states
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