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

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Title:	Inviscid and viscous stationary waves of gas flow through contracting-expanding nozzles
Authors:	Hong,JM;Hsu,CH;Liu,WS
Contributors:	數學系
Date:	2010
Issue Date:	2012-03-27 18:22:52 (UTC+8)
Publisher:	國立中央大學
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. Published by Elsevier Inc.
Relation:	JOURNAL OF DIFFERENTIAL EQUATIONS
Appears in Collections:	[數學系] 期刊論文

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