On the high friction limit for the complete Euler system

On the high friction limit for the complete Euler system

We show that solutions of the complete Euler system of gas dynamics perturbed by a friction term converge to a solution of the porous medium equation in the high friction/long time limit. The result holds in the largest possible class of generalized solutions–the measure–valued solutions of the Eule...

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Veröffentlicht in:Journal of evolution equations 2024-06, Vol.24 (2), Article 25
Hauptverfasser: Feireisl, Eduard, Gwiazda, Piotr, Kwon, Young-Sam, Świerczewska-Gwiazda, Agnieszka
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Friction
Gas dynamics
Mathematics
Mathematics and Statistics
Porous media
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Beschreibung
Zusammenfassung:We show that solutions of the complete Euler system of gas dynamics perturbed by a friction term converge to a solution of the porous medium equation in the high friction/long time limit. The result holds in the largest possible class of generalized solutions–the measure–valued solutions of the Euler system.
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-024-00956-9