Abstract
In this paper, we establish the existence of global-in-time smooth solutions to the compressible Navier–Stokes system for a viscous and heat-conducting ideal polytropical gas with shear viscosity and large data. Here, the viscosity coefficients can be degenerate functions on density, and the heat-conductive coefficient can also be a degenerate function on both density and temperature.
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Zou, Q., Lei, H. The Cauchy problem for compressible Navier–Stokes equations with shear viscosity and large data. Z. Angew. Math. Phys. 66, 2305–2341 (2015). https://doi.org/10.1007/s00033-015-0522-1
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DOI: https://doi.org/10.1007/s00033-015-0522-1