ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY

Abstract

Abstract: This paper is concerned with the construction of global, large amplitude solutions to the Cauchy problem of the one-dimensional compressible Navier-Stokes system for a viscous radiative gas when the viscosity and heat conductivity coefficients depend on both specific volume and absolute temperature. The data are assumed to be without vacuum, mass concentrations, or vanishing temperatures, and the same is shown to be hold for the global solution constructed. The proof is based on some detailed analysis on uniform positive lower and upper bounds of the specific volume and absolute temperature.

Key words: compressible Navier-Stokes system, temperature-dependent viscosity, viscous radiative gas, global solution, asymptotic behavior

Lin HE, Yongkai LIAO, Tao WANG, Huijiang ZHAO. ONE-DIMENSIONAL VISCOUS RADIATIVE GAS WITH TEMPERATURE DEPENDENT VISCOSITY[J].Acta Mathematica Scientia, 2018, 38(5): 1515-1548.

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References

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