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On initial boundary value problems for the compressible Navier–Stokes system with temperature dependent heat conductivity

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Abstract

This paper studies initial boundary value problems, including boundary damping, for the equations of a viscous, heat-conducting, one-dimensional ideal polytropic gas. The existence of a global strong (or classical) solution for the compressible Navier–Stokes system with temperature dependent heat conductivity is established. It can be regarded as a natural generalization of Nagasawa (J Differ Equ 65(1):49–67, 1986).

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  1. Center for Nonlinear Studies, School of Mathematics Northwest University, Xi’an, 710127, China

    Wenchao Dong

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Dong, W. On initial boundary value problems for the compressible Navier–Stokes system with temperature dependent heat conductivity. Arch. Math. 122, 71–82 (2024). https://doi.org/10.1007/s00013-023-01926-2

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  • DOI: https://doi.org/10.1007/s00013-023-01926-2

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