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arXiv · 2602.01890

On the relaxation towards mechanical equilibrium for two-pressure compressible flows

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

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.

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Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert. 2026-02-02. On the relaxation towards mechanical equilibrium for two-pressure compressible flows. https://arxiv.org/abs/2602.01890

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