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    NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Item 987654321/109234


    請使用永久網址來引用或連結此文件: https://ir.lib.ncu.edu.tw/handle/987654321/109234


    題名: Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area
    作者: 許正雄;Hong, John M.;Hsu, Cheng-Hsiung;Lin, Ying-Chieh;Liu, Weishi
    貢獻者: 理學院數學系
    關鍵詞: Geometric singular perturbation theory;Sobolevʼs embedding theorem;Sub-to-super inviscid transonic stationary wave
    日期: 2013-02-15
    上傳時間: 2026-04-23 16:17:09 (UTC+8)
    出版者: Academic Press Inc.;Elsevier Inc
    摘要: 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
    顯示於類別:[數學系] 期刊論文

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