Stationary mixture BGK models with the correct Fick coefficients (Q6564704)

From MaRDI portal





scientific article; zbMATH DE number 7873819
Language Label Description Also known as
English
Stationary mixture BGK models with the correct Fick coefficients
scientific article; zbMATH DE number 7873819

    Statements

    Stationary mixture BGK models with the correct Fick coefficients (English)
    0 references
    0 references
    0 references
    0 references
    0 references
    1 July 2024
    0 references
    In this paper, the authors established the existence of unique stationary mild solutions to the BGK models for gas mixtures which produces the correct Fick coefficients in the Navier-Stokes limit for inert gases [the first author et al., Eur. J. Mech., B, Fluids 33, 74--86 (2012; Zbl 1258.76122)] and for reactive gases [the first author and \textit{J. Schneider}, Commun. Math. Sci. 12, No. 7, 1199--1223 (2014; Zbl 1311.35176)] in a unified manner.
    0 references
    0 references
    gas kinetic theory
    0 references
    Boltzmann equation
    0 references
    gas mixture
    0 references
    existence
    0 references
    uniqueness
    0 references
    stationary mild solution
    0 references
    contractive operator mapping
    0 references
    0 references
    0 references
    0 references
    0 references

    Identifiers