On the steady flow of reactive gaseous mixture

Vincent Giovangigli; Milan Pokorný; Ewelina Zatorska

doi:10.1515/anly-2014-1306

Published by Oldenbourg Wissenschaftsverlag September 4, 2015

On the steady flow of reactive gaseous mixture

Vincent Giovangigli , Milan Pokorný and Ewelina Zatorska

From the journal Analysis

https://doi.org/10.1515/anly-2014-1306

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Abstract

We present the study of systems of equations governing a steady flow of polyatomic, heat-conducting reactive gas mixture. It is shown that the corresponding system of PDEs admits a weak solution and renormalized solution to the continuity equation, provided the adiabatic exponent for the mixture γ is greater than 53.

Keywords: Multicomponent flow; chemically reacting gas; steady compressible Navier–Stokes–Fourier system; weak solution

MSC: 76N10; 35Q30

Funding source: École Polytechnique

Award Identifier / Grant number: Post-Doctoral support

Funding source: MN

Award Identifier / Grant number: IdPlus2011/000661

Funding source: Foundation for Polish Science

Award Identifier / Grant number: START

Received: 2014-12-10

Accepted: 2015-8-14

Published Online: 2015-9-4

Published in Print: 2015-11-1

On the steady flow of reactive gaseous mixture

Abstract

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