Abstract:The dynamics of two-phase flows out of mechanical and thermal equilibrium are described by a partially dissipative first-order quasilinear system with stiff interaction terms associated with fast relaxation scales. In this paper, we analyze from a mathematical point of view the resulting pressure and temperature relaxation singular limit problem for a one velocity Baer-Nunziato model. This leads to a singular limit problem involving two small parameters. We propose a uniform symmetrization of this system which allows us to justify the strong relaxation limit and to establish a convergence rate for classical solutions.
| Subjects: | Analysis of PDEs (math.AP) |
| Cite as: | arXiv:2605.23693 [math.AP] |
| (or arXiv:2605.23693v1 [math.AP] for this version) | |
| https://doi.org/10.48550/arXiv.2605.23693 arXiv-issued DOI via DataCite (pending registration) |
From: Pierre Gonin--Joubert [view email] [via CCSD proxy]
[v1]
Fri, 22 May 2026 14:49:01 UTC (35 KB)
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