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Title: On the Impossibility of First-Order Phase Transitions in Systems Modeled by the Full Euler Equations
Author(s): Hantke, Maren
Thein, Ferdinand
Issue Date: 2019
Type: Article
Language: English
URN: urn:nbn:de:gbv:ma9:1-1981185920-367747
Abstract: Liquid–vapor flows exhibiting phase transition, including phase creation in single-phase flows, are of high interest in mathematics, as well as in the engineering sciences. In two preceding articles the authors showed on the one hand the capability of the isothermal Euler equations to describe such phenomena (Hantke and Thein, arXiv, 2017, arXiv:1703.09431). On the other hand they proved the nonexistence of certain phase creation phenomena in flows governed by the full system of Euler equations, see Hantke and Thein, Quart. Appl. Math. 2015, 73, 575–591. In this note, the authors close the gap for two-phase flows by showing that the two-phase flows considered are not possible when the flow is governed by the full Euler equations, together with the regular Rankine-Hugoniot conditions. The arguments rely on the fact that for (regular) fluids, the differences of the entropy and the enthalpy between the liquid and the vapor phase of a single substance have a strict sign below the critical point.
Open Access: Open access publication
License: (CC BY 4.0) Creative Commons Attribution 4.0(CC BY 4.0) Creative Commons Attribution 4.0
Sponsor/Funder: DFG-Publikationsfonds 2019
Journal Title: Entropy
Publisher: MDPI
Publisher Place: Basel
Volume: 21
Issue: 11
Original Publication: 10.3390/e21111039
Page Start: 1
Page End: 6
Appears in Collections:Fakultät für Mathematik (OA)

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