Abstract
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.
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E. Feireisl: The work of E.F. was partially supported by the Czech Sciences Foundation (GAČR), Grant Agreement 21–02411S. The Institute of Mathematics of the Academy of Sciences of the Czech Republic is supported by RVO:67985840. This work was partially supported by the Thematic Research Programme, University of Warsaw, Excellence Initiative Research University.
Y.–S. Kwon: The work of Y.–S. Kwon was partially supported by the National Research Foundation of Korea (NRF2022R1F1A1073801).
A. Świerczewska-Gwiazda: The work of A. Ś-G. and P.G. was partially supported by National Science Centre (Poland), agreement no 2021/43/B/ST1/02851.
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Feireisl, E., Gwiazda, P., Kwon, YS. et al. On the high friction limit for the complete Euler system. J. Evol. Equ. 24, 25 (2024). https://doi.org/10.1007/s00028-024-00956-9
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DOI: https://doi.org/10.1007/s00028-024-00956-9