Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109234

Title:	Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area
Authors:	許正雄;Hong, John M.;Hsu, Cheng-Hsiung;Lin, Ying-Chieh;Liu, Weishi
Contributors:	理學院數學系
Keywords:	Geometric singular perturbation theory;Sobolevʼs embedding theorem;Sub-to-super inviscid transonic stationary wave
Date:	2013-02-15
Issue Date:	2026-04-23 16:17:09 (UTC+8)
Publisher:	Academic Press Inc.;Elsevier Inc
Abstract:	摘要： In this work we consider the linear stability of the sub-to-super inviscid transonic stationary wave of a one-dimensional model of isentropic compressible flows through a nozzle of varying area. This sub-to-super inviscid transonic stationary wave is newly founded by the authors using the geometric singular perturbation theory. The main result of this work is to show that the sub-to-super inviscid transonic stationary wave is physically relevant in the sense that it is L∞ linearly stable on any bounded space interval as long as its velocity is greater than 1/2 of the sound speed. 出版者： Elsevier Inc 出版日期： 2013-02-15 出處： Journal of Differential Equations, 2013-02, Vol.254 (4), p.1957-1976 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2012 Elsevier Inc. 識別號： ISSN: 0022-0396 識別號： EISSN: 1090-2732 識別號： DOI: 10.1016/j.jde.2012.11.011
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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