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arXiv · 2605.23693

Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model

Cosmin Burtea·Timothée Crin-Barat·Pierre Gonin--Joubert
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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.

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Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert. 2026-05-22. Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model. https://arxiv.org/abs/2605.23693

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