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Multicomponent mixture model: The issue of existence via time discretization

Zatorska, E; Mucha, PB; (2015) Multicomponent mixture model: The issue of existence via time discretization. Communications in Mathematical Sciences , 13 (8) pp. 1975-2003. 10.4310/CMS.2015.v13.n8.a2. Green open access

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Abstract

We prove the existence of global-in-time weak solutions to a model of chemically reacting mixture. We consider a coupling between the compressible Navier-Stokes system and the reaction diffusion equations for chemical species when the thermal effects are neglected. We first prove the existence of weak solutions to the semi-discretization in time. Based on this, the existence of solutions to the evolutionary system is proven.

Type: Article
Title: Multicomponent mixture model: The issue of existence via time discretization
Open access status: An open access version is available from UCL Discovery
DOI: 10.4310/CMS.2015.v13.n8.a2
Publisher version: http://doi.org/10.4310/CMS.2015.v13.n8.a2
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. This is available with the kind permisisons from International Press of Boston, Inc.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
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/10034978
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