Inviscid and viscous stationary waves of gas flow through contracting-expanding nozzles

研究成果: 雜誌貢獻期刊論文同行評審

15 引文 斯高帕斯(Scopus)

摘要

In this work we study steady states of one-dimensional viscous isentropic compressible flows through a contracting-expanding nozzle. Treating the viscosity coefficient as a singular parameter, the steady-state problem can be viewed as a singularly perturbed system. For a contracting-expanding nozzle, a complete classification of steady states is given and the existence of viscous profiles is established via the geometric singular perturbation theory. Particularly interesting is the existence of a maximal sub-to-super transonic wave and its role in the formation of other complicated transonic waves consisting of a sub-to-super portion.

原文???core.languages.en_GB???
頁(從 - 到)50-76
頁數27
期刊Journal of Differential Equations
248
發行號1
DOIs
出版狀態已出版 - 1 1月 2010

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