Invariant region on a non-isentropic gas dynamics system

Invariant region on a non-isentropic gas dynamics system

In this paper, we found a special non-isentropic gas dynamics system, whose invariant region is the opposite of the corresponding isentropic case. This shows that the powerful invariant region theory introduced by Chueh, Conley and Smoller for general hyperbolic system of two conservation laws canno...

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Veröffentlicht in:Nonlinear analysis: real world applications 2023-10, Vol.73, p.103915, Article 103915
Hauptverfasser: Chen, Yong, Klingenberg, Christian, Lu, Yun-guang, Wang, Xianting, You, Guoqiao
Format: Artikel
Sprache:eng
Schlagworte:
Conservation laws
Invariant region theory
Isentropic gas
Non-isentropic gas
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Zusammenfassung:In this paper, we found a special non-isentropic gas dynamics system, whose invariant region is the opposite of the corresponding isentropic case. This shows that the powerful invariant region theory introduced by Chueh, Conley and Smoller for general hyperbolic system of two conservation laws cannot be obviously applied to obtain the a priori L∞ estimates for systems of more than two equations.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2023.103915