Pré-Publication, Document De Travail Année : 2026

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

Résumé

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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hal-05628710 , version 1 (21-05-2026)

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Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert. Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model. 2026. ⟨hal-05628710⟩
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