On the steady flow of reactive gaseous mixture

Vincent Giovangigli; Milan Pokorný; Ewelina Zatorska

doi:10.1515/anly-2014-1306

On the steady flow of reactive gaseous mixture

Vincent Giovangigli
, Milan Pokorný
, Ewelina Zatorska

Charles University
Institute of Mathematics of the Polish Academy of Sciences

Research output: Contribution to journal › Article › peer-review

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 5/3.

Original language	English
Pages (from-to)	319-341
Number of pages	23
Journal	Analysis (Germany)
Volume	35
Issue number	4
DOIs	https://doi.org/10.1515/anly-2014-1306
Publication status	Published - 1 Nov 2015

Keywords

Multicomponent flow
chemically reacting gas
steady compressible Navier-Stokes-Fourier system
weak solution

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title = "On the steady flow of reactive gaseous mixture",

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 5/3.",

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AU - Giovangigli, Vincent

AU - Pokorný, Milan

AU - Zatorska, Ewelina

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N2 - 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 5/3.

AB - 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 5/3.

KW - Multicomponent flow

KW - chemically reacting gas

KW - steady compressible Navier-Stokes-Fourier system

KW - weak solution

U2 - 10.1515/anly-2014-1306

DO - 10.1515/anly-2014-1306

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VL - 35

SP - 319

EP - 341

JO - Analysis (Germany)

JF - Analysis (Germany)

IS - 4

ER -

On the steady flow of reactive gaseous mixture

Abstract

Keywords

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