On the high friction limit for the complete Euler system

0584770 - MÚ 2025 RIV DE eng J - Článek v odborném periodiku
Feireisl, Eduard - Gwiazda, P. - Kwon, Y.-S. - Świerczewska-Gwiazda, A.
On the high friction limit for the complete Euler system.
Journal of Evolution Equations. Roč. 24, č. 2 (2024), č. článku 25. ISSN 1424-3199. E-ISSN 1424-3202
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: Euler system of gas dynamics * high friction limit * porous medium equation
Obor OECD: Pure mathematics
Impakt faktor: 1.4, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00028-024-00956-9

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.
Trvalý link: https://hdl.handle.net/11104/0352619