Weak and variational entropy solutions to the system describing steady\n flow of a compressible reactive mixture

2016/12/16 by Tomasz Piasecki, Piasecki, Tomasz, Milan Pokorný +1
Engineering · Mathematics · #35Q30 #76N10 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1612.05443

openalex publication_date 2016/12/16 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We consider a system of partial differential equations which describes steady\nflow of a compressible heat conducting chemically reacting gaseous mixture. We\nextend the result from Giovangigli, Pokorn 'y, Zatorska (2015) in the sense\nthat we introduce the variational entropy solution for this model and prove\nexistence of a weak solution for \γ > frac 43 and existence of a\nvariational entropy solution for any \γ >1. The proof is based on\nimproved density estimates.\n

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