Diffusion asymptotic of a kinetic model for gas-particle mixture with energy exchanges | Vidéo | Carmin.tv

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

By Frédérique Charles

Appears in collection : SMF RC. Kinetic theory and fluid mechanics: couplings, scalings and asymptotics. / ER SMF. Théorie cinétique et mécanique des fluides : couplages, échelles et asymptotiques.

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].

Information about the video

Date of recording 27/03/2025
Date of publication 04/04/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20331503
Cite this video Charles, Frédérique (27/03/2025). Diffusion asymptotic of a kinetic model for gas-particle mixture with energy exchanges. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20331503
URL https://dx.doi.org/10.24350/CIRM.V.20331503

Domain(s)

Analysis of PDEs

Bibliography

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