Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918518654500864 |
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| author | Burtea, Cosmin Crin-Barat, Timothée Gonin--Joubert, Pierre |
| author_facet | Burtea, Cosmin Crin-Barat, Timothée Gonin--Joubert, Pierre |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23693 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model Burtea, Cosmin Crin-Barat, Timothée Gonin--Joubert, Pierre Analysis of PDEs 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. |
| title | Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.23693 |