Mucha, PB;
Pokorný, M;
Zatorska, E;
(2015)
Heat-conducting, compressible mixtures with multicomponent diffusion: Construction of a weak solution.
SIAM Journal on Mathematical Analysis
, 47
(5)
pp. 3747-3797.
10.1137/140957640.
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Abstract
We investigate a coupling between the compressible Navier'stokes-Fourier system and the full Maxwell'stefan equations. This model describes the motion of a chemically reacting heat-conducting gaseous mixture. The viscosity coefficients are density-dependent functions vanishing in a vacuum and the internal pressure depends on species concentrations. By several levels of approximation we prove the global-in-time existence of weak solutions on the three-dimensional torus.
| Type: | Article |
|---|---|
| Title: | Heat-conducting, compressible mixtures with multicomponent diffusion: Construction of a weak solution |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/140957640 |
| Publisher version: | http://doi.org/10.1137/140957640 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | mixtures, chemically reacting gas, compressible Navier–Stokes–Fourier system, Maxwell–Stefan equations, weak solutions |
| 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/10034976 |
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