On the relaxation towards mechanical equilibrium for two-pressure compressible flows
Analysis of PDEs
2026-02-03 v1
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.
Keywords
Cite
@article{arxiv.2602.01890,
title = {On the relaxation towards mechanical equilibrium for two-pressure compressible flows},
author = {Cosmin Burtea and Timothée Crin-Barat and Pierre Gonin--Joubert},
journal= {arXiv preprint arXiv:2602.01890},
year = {2026}
}