Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area (Q1937377)
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scientific article; zbMATH DE number 6140137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area |
scientific article; zbMATH DE number 6140137 |
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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)
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28 February 2013
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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.
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geometric singular perturbation theory
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sub-to super inviscid transonic stationary wave
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Sobolev's embedding theorem
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