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- W2890159443 abstract "In one-dimensional unbounded domains, we prove global existence of strong solutions to the compressible Navier-Stokes system for a viscous and heat conducting ideal polytropic gas, when the viscosity is constant and the heat conductivity $kappa$ depends on the temperature $theta$ according to $kappa=barkappatheta^beta (beta>0)$. Note that the conditions imposed on the initial data are the same as those of the constant heat conductivity case ([Kazhikhov, A. V. Siberian Math. J. 23 (1982), 44-49]) and can be arbitrarily large. Therefore, our result generalizes Kazhikhov's result for the constant heat conductivity case to the degenerate and nonlinear one." @default.
- W2890159443 created "2018-09-27" @default.
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- W2890159443 date "2018-09-03" @default.
- W2890159443 modified "2023-09-23" @default.
- W2890159443 title "Global Existence of Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity in Unbounded Domains" @default.
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- W2890159443 doi "https://doi.org/10.48550/arxiv.1809.00609" @default.
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