On the relaxation towards mechanical equilibrium for two-pressure compressible flows
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914301166485504 |
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| author | Burtea, Cosmin Crin-Barat, Timothée Gonin--Joubert, Pierre |
| author_facet | Burtea, Cosmin Crin-Barat, Timothée Gonin--Joubert, Pierre |
| contents | We introduce a symmetrization of a one-velocity two-pressures Baer-Nunziato type model for mixtures of barotropic compressible fluids. It allows us to justify the zero compaction viscosity limit and to recover a solution of the so-called Kapila model. On the other hand, the symmetrization highlights a pressure-induced stabilization mechanism which allows us to recover a global-in-time existence result for initial data close to constant states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01890 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the relaxation towards mechanical equilibrium for two-pressure compressible flows Burtea, Cosmin Crin-Barat, Timothée Gonin--Joubert, Pierre Analysis of PDEs We introduce a symmetrization of a one-velocity two-pressures Baer-Nunziato type model for mixtures of barotropic compressible fluids. It allows us to justify the zero compaction viscosity limit and to recover a solution of the so-called Kapila model. On the other hand, the symmetrization highlights a pressure-induced stabilization mechanism which allows us to recover a global-in-time existence result for initial data close to constant states. |
| title | On the relaxation towards mechanical equilibrium for two-pressure compressible flows |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.01890 |