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