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Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model
Cosmin Burte · 2026-05-25 · via math updates on arXiv.org

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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.
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)

Submission history

From: Pierre Gonin--Joubert [view email] [via CCSD proxy]
[v1] Fri, 22 May 2026 14:49:01 UTC (35 KB)

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