On transonic shocks in a nozzle with variable end pressures (Q1048089)
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scientific article; zbMATH DE number 5655506
| Language | Label | Description | Also known as |
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| English | On transonic shocks in a nozzle with variable end pressures |
scientific article; zbMATH DE number 5655506 |
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On transonic shocks in a nozzle with variable end pressures (English)
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11 January 2010
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The authors study the transonic shock problem when a supersonic flow goes through a 2-D curved nozzle with a straight divergent part and a smooth convergent part. The gas is considered to be isentropic, but the results can be applied to non-isentropic case also. The flow is described by steady (i.e. time-independent) Euler system. The pressure at the exit of the nozzle is variable. Existence and uniqueness of the shock solution is established provided that the exit pressure differs from a constant not too much.
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steady Euler system
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transonic shocks
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conic divergent nozzle
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first-order elliptic systems
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existence and uniqueness of shock solutions
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