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Asymptotic Behavior of the Solution to Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity in an Unbounded Domain

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This paper concerns the one-dimensional compressible Navier–Stokes system with temperature-dependent heat conductivity in R with large initial data. We prove that velocity and temperature are uniformly bounded from below and… Click to show full abstract

This paper concerns the one-dimensional compressible Navier–Stokes system with temperature-dependent heat conductivity in R with large initial data. We prove that velocity and temperature are uniformly bounded from below and above in time and space when the heat conductivity coefficient takes κ=κ¯(1+θb) for all b>52. In addition, we show that the global solution is asymptotically stable as time tends to infinity.

Keywords: temperature; heat conductivity; navier stokes; compressible navier

Journal Title: Symmetry
Year Published: 2022

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