The Uniqueness of a Transonic Shock in a Nozzle for the 2-D Complete Euler System with the Variable End Perssure

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Volume 21, Issue 3

Dacheng Cui & Huicheng Yin

J. Part. Diff. Eq., 21 (2008), pp. 263-288.

Published online: 2008-08

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Abstract

In this paper, by use of the methods in [1-3], we establish the uniqueness of a 2-D transonic shock solution in a nozzle when the end pressure in the diverging part of the nozzle lies in an appropriate scope. Especially, we remove the crucial but unnatural assumption in recent references which the transonic shock must be assumed to go through a fixed point in advance.

Keywords

Steady Euler system supersonic flow subsonic flow transonic shock nozzle

AMS Subject Headings

35L70 35L65 35L67 76N15.

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@Article{JPDE-21-263, author = {Dacheng Cui and Huicheng Yin}, title = {The Uniqueness of a Transonic Shock in a Nozzle for the 2-D Complete Euler System with the Variable End Perssure}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {3}, pages = {263--288}, abstract = { In this paper, by use of the methods in [1-3], we establish the uniqueness of a 2-D transonic shock solution in a nozzle when the end pressure in the diverging part of the nozzle lies in an appropriate scope. Especially, we remove the crucial but unnatural assumption in recent references which the transonic shock must be assumed to go through a fixed point in advance.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5282.html} }

TY - JOUR T1 - The Uniqueness of a Transonic Shock in a Nozzle for the 2-D Complete Euler System with the Variable End Perssure AU - Dacheng Cui & Huicheng Yin JO - Journal of Partial Differential Equations VL - 3 SP - 263 EP - 288 PY - 2008 DA - 2008/08 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5282.html KW - Steady Euler system KW - supersonic flow KW - subsonic flow KW - transonic shock KW - nozzle AB - In this paper, by use of the methods in [1-3], we establish the uniqueness of a 2-D transonic shock solution in a nozzle when the end pressure in the diverging part of the nozzle lies in an appropriate scope. Especially, we remove the crucial but unnatural assumption in recent references which the transonic shock must be assumed to go through a fixed point in advance.

Dacheng Cui and Huicheng Yin. (2008). The Uniqueness of a Transonic Shock in a Nozzle for the 2-D Complete Euler System with the Variable End Perssure. Journal of Partial Differential Equations. 21 (3). 263-288. doi:

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