Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Preprints of the Keldysh Institute of Applied Mathematics, 2021, 077, 26 pp.
DOI: https://doi.org/10.20948/prepr-2021-77
(Mi ipmp2994)
 

This article is cited in 1 scientific paper (total in 1 paper)

Properties of the aggregated quasi-hydrodynamic system of equations for a homogeneous gas mixture with a common regularizing velocity

A. A. Zlotnik, A. S. Fedchenko
Full-text PDF (532 kB) Citations (1)
References:
Abstract: We study a quasi-hydrodynamic system of equations for a homogeneous (with common velocity and temperature) multicomponent gas mixture in the absence of chemical reactions, with a regularizing velocity common for the components. We derive the entropy balance equation with a non-negative entropy production taking into account the diffusion fluxes of the mixture components. In the absence of diffusion fluxes, a system of equations linearized at a constant solution is constructed by a new technique, In the absence of diffusion fluxes, a system of equations linearized on a constant solution is constructed by a new technique. It is reduced to a symmetric form, the $L^2$-dissipativity of its solutions is proved, and a degeneration (with respect to the densities of the mixture components) of the parabolicity property for the original system is established. Actually, the system has the composite type. The obtained properties strictly reflect its physical correctness and dissipative nature of the quasi-hydrodynamic regularization.
Keywords: homogeneous gas mixture, quasi-hydrodynamic system of equations, entropy balance equation, linearization, dissipativity, parabolicity.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00262
Document Type: Preprint
Language: Russian
Citation: A. A. Zlotnik, A. S. Fedchenko, “Properties of the aggregated quasi-hydrodynamic system of equations for a homogeneous gas mixture with a common regularizing velocity”, Keldysh Institute preprints, 2021, 077, 26 pp.
Citation in format AMSBIB
\Bibitem{ZloFed21}
\by A.~A.~Zlotnik, A.~S.~Fedchenko
\paper Properties of the aggregated quasi-hydrodynamic system of equations for a homogeneous gas mixture with a common regularizing velocity
\jour Keldysh Institute preprints
\yr 2021
\papernumber 077
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp2994}
\crossref{https://doi.org/10.20948/prepr-2021-77}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2994
  • https://www.mathnet.ru/eng/ipmp/y2021/p77
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:143
    Full-text PDF :50
    References:27
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024