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Diffusion asymptotic of a kinetic model for gas-particle mixture with energy exchanges

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Authors : Charles, Frédérique (Author of the conference)
CIRM (Publisher )

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Abstract : In this talk we present a non-isothermal kinetic model of the interactions between dust particles and gas molecules. We assume that gas-dust collisions follow a diffuse reflection mechanism at the surface of the dust particles as in [1] and [2]. The surface temperature of the particles is treated as a function of time and space, satisfying a transport-like equation. The highlight of this model is that it allows to derive both the conservation of the total energy of the system and an explicit expression of the entropy. After dimensionalizing the equations, we carry out a formal diffusive asymptotics for a two-species Maxwell-Stefan model, with several small model parameters tending towards zero. This is a joint work with Annamaria Massimini and Francesco Salvarani [3].

Keywords : kinetic theory; Boltzmann equation; diffusive asymptotics

MSC Codes :
76P05 - Rarefied gas flows, Boltzmann equation, See also {82B40, 82C40, 82D05}
 74A25 - Molecular, statistical, and kinetic theories
    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 04/04/2025
    Conference Date : 27/03/2025
    Subseries : Research talks
    arXiv category : Analysis of PDEs
    Mathematical Area(s) : PDE
    Format : MP4 (.mp4) - HD
    Video Time : 00:44:30
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2025-03-27_Charles.mp4
Information on the Event

Event Title : SMF RC. Kinetic theory and fluid mechanics: couplings, scalings and asymptotics. / ER SMF. Théorie cinétique et mécanique des fluides : couplages, échelles et asymptotiques.
Event Organizers : Han-Kwan, Daniel ; Lods, Bertrand ; Moussa, Ayman ; Tristani, Isabelle
Dates : 24/03/2025 - 28/03/2025
Event Year : 2025
Event URL : https://conferences.cirm-math.fr/3205.html

Citation Data

DOI : 10.24350/CIRM.V.20331503
Cite this video as: Charles, Frédérique (2025). Diffusion asymptotic of a kinetic model for gas-particle mixture with energy exchanges. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20331503
URI : http://dx.doi.org/10.24350/CIRM.V.20331503

See Also

Bibliography

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  • ANWASIA, Benjamin, GONÇALVES, Patrícia, et SOARES, Ana Jacinta. On the formal derivation of the reactive Maxwell-Stefan equations from the kinetic theory. Europhysics Letters, 2020, vol. 129, no 4, p. 40005. - https://doi.org/10.1209/0295-5075/129/40005

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