Perrin, C;
Zatorska, E;
(2015)
Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations.
Communications in Partial Differential Equations
, 40
(8)
pp. 1558-1589.
10.1080/03605302.2015.1014560.
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Abstract
We approximate a two–phase model by the compressible Navier-Stokes equations with a singular pressure term. Up to a subsequence, these solutions are shown to converge to a global weak solution of the compressible system with the congestion constraint studied for instance by Lions and Masmoudi. The paper is an extension of the previous result obtained in one-dimensional setting by Bresch et al. to the multi-dimensional case with heterogeneous barrier for the density.
| Type: | Article |
|---|---|
| Title: | Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1080/03605302.2015.1014560 |
| Publisher version: | http://doi.org/10.1080/03605302.2015.1014560 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Compressible Navier-Stokes equations, Free boundary problem, Singular limit 1991 Mathematics Subject Classification: 35Q30, 76N10 |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10047363 |
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