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
Keywords: Multicomponent flow; chemically reacting gas; steady compressible Navier–Stokes–Fourier system; weak solution
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
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Time delay and Lagrangian approximation for Navier–Stokes flow
- Compressible Navier–Stokes limit of binary mixture of gas particles
- On asymptotic stability of global solutions in the weak L2 space for the two-dimensional Navier–Stokes equations
- A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component
- Steady-state flow of a shear-thinning liquid in an unbounded pipeline system
- Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions
- On the steady flow of reactive gaseous mixture
- Spectral stability of Prandtl boundary layers: An overview
Keywords for this article
Multicomponent flow;
chemically reacting gas;
steady compressible Navier–Stokes–Fourier system;
weak solution
Articles in the same Issue
- Frontmatter
- Time delay and Lagrangian approximation for Navier–Stokes flow
- Compressible Navier–Stokes limit of binary mixture of gas particles
- On asymptotic stability of global solutions in the weak L2 space for the two-dimensional Navier–Stokes equations
- A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component
- Steady-state flow of a shear-thinning liquid in an unbounded pipeline system
- Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions
- On the steady flow of reactive gaseous mixture
- Spectral stability of Prandtl boundary layers: An overview