@article{6cf0e0f2161b460bb078d21d1f1bafd4,
title = "Inviscid and viscous stationary waves of gas flow through contracting-expanding nozzles",
abstract = "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.",
keywords = "Contracting-expanding nozzles, Gas flow, Sub-to-super transonic waves",
author = "Hong, {John M.} and Hsu, {Cheng Hsiung} and Weishi Liu",
note = "Funding Information: E-mail addresses: jhong@math.ncu.edu.tw (J.M. Hong), chhsu@math.ncu.edu.tw (C.-H. Hsu), wliu@math.ku.edu (W. Liu). 1 Partially supported by National Science Council of Taiwan. 2 Partially supported by National Science Council and NCTS of Taiwan. 3 Partially supported by National Science Foundation of USA Grant DMS-0807327 and University of Kansas GRF 2301264-003.",
year = "2010",
month = jan,
day = "1",
doi = "10.1016/j.jde.2009.06.016",
language = "???core.languages.en_GB???",
volume = "248",
pages = "50--76",
journal = "Journal of Differential Equations",
issn = "0022-0396",
number = "1",
}