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

Result description

We consider a system of partial differential equations which describes steady flow of a compressible heat conducting chemically reacting gaseous mixture. We extend the result from Giovangigli et al. (2015) in the sense that we introduce the variational entropy solution for this model and prove existence of a weak solution for gamma > 4/3 and existence of a variational entropy solution for any gamma > 1. The proof is based on improved density estimates.

Keywords

Entropy inequalityMulticomponent diffusion fluxNavier-Stokes-Fourier systemSteady compressible

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    We consider a system of partial differential equations which describes steady flow of a compressible heat conducting chemically reacting gaseous mixture. We extend the result from Giovangigli et al. (2015) in the sense that we introduce the variational entropy solution for this model and prove existence of a weak solution for gamma > 4/3 and existence of a variational entropy solution for any gamma > 1. The proof is based on improved density estimates.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Nonlinear Analysis, Theory, Methods and Applications

  • ISSN

    0362-546X

  • e-ISSN

  • Volume of the periodical

    159

  • Issue of the periodical within the volume

    August

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    28

  • Pages from-to

    365-392

  • UT code for WoS article

    000404309400016

  • EID of the result in the Scopus database

    2-s2.0-85009829469

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Pure mathematics

Year of implementation

2017