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@article{faucris.294849924,
abstract = {In this paper, we study a singular limit problem for a compressible one-velocity bifluid system. More precisely, we show that solutions of the Kapila system generated by initial data close to equilibrium are obtained in the pressure-relaxation limit from solutions of the Baer-Nunziato (BN) system. The convergence rate of this process is a consequence of our stability result. Besides the fact that the quasilinear part of the (BN) system cannot be written in conservative form, its natural associated entropy is only positive semi-definite such that it is not clear if the entropic variables can be used in the present case. Using an ad-hoc change of variables we obtain a reformulation of the (BN) system which couples, via low-order terms, an undamped mode and a non-symmetric partially dissipative hyperbolic system satisfying the Shizuta-Kawashima stability condition.},
author = {Burtea, Cosmin and Crin-Barat, TimothÃ©e and Tan, Jin},
doi = {10.1142/S0218202523500161},
faupublication = {yes},
journal = {Mathematical Models & Methods in Applied Sciences},
keywords = {Baer-Nunziato; Kapila system; non-conservative quasilinear systems; one-velocity bifluid system; pressure-relaxation limit},
note = {CRIS-Team Scopus Importer:2023-03-31},
peerreviewed = {Yes},
title = {{Pressure}-relaxation limit for a one-velocity {Baer}-{Nunziato} model to a {Kapila} model},
year = {2023}
}