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Mathematics (1)

one-dimensional compressible navier–stokes equations

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Initial–boundary-value problems for one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients
Part of
Qing Chen, Huijiang Zhao, Qingyang Zou
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 147 / Issue 5 / October 2017

Published online by Cambridge University Press:

16 March 2017, pp. 935-969

Print publication:

October 2017
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This paper is concerned with the construction of global, non-vacuum, strong, large amplitude solutions to initial–boundary-value problems for the one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients. Our analysis derives the positive lower and upper bounds on the specific volume and the absolute temperature.