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Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area. (English) Zbl 1319.35191

This paper studies 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. By using the geometric singular perturbation approach, the authors show that the sub-to super inviscid transonic stationary wave is physically relevant in the sense that it is \(L^ \infty\) linearly stable on any bounded space interval under some assumption on velocity.
Reviewer: Cheng He (Beijing)

MSC:

35Q35 PDEs in connection with fluid mechanics
76H05 Transonic flows
35B35 Stability in context of PDEs
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
76N15 Gas dynamics (general theory)
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