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Approximate solutions to a model of two-component reactive flow

Mucha, PBL; Pokorný, M; Zatorska, E; (2014) Approximate solutions to a model of two-component reactive flow. Discrete and Continuous Dynamical Systems - Series S , 7 (5) pp. 1079-1099. 10.3934/dcdss.2014.7.1079. Green open access

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Abstract

We consider a model of motion of binary mixture, based on the compressible Navier-Stokes system. The mass balances of chemically reacting species are described by the reaction-diffusion equations with generalized form of multicomponent difiusion ux. Under a special relation between the two density dependent viscosity coefficients and for singular cold pressure we construct the weak solutions passing through several levels of approximation.

Type: Article
Title: Approximate solutions to a model of two-component reactive flow
Open access status: An open access version is available from UCL Discovery
DOI: 10.3934/dcdss.2014.7.1079
Publisher version: http://dx.doi.org/10.3934/dcdss.2014.7.1079
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: Weak solutions, density-dependent viscosity, chemically reacting gas, compressible Navier--Stokes system, Multicomponent flow
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-pp.ucl.ac.uk/id/eprint/10045147
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