Geodesic
Stationary Solutions to the Two-Dimensional Broadwell Model
Documenta mathematica, Tome 25 (2020), pp. 2023-2048.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Existence of renormalized solutions to the two-dimensional stationary Broadwell model in a square with given indata in $L^1$ is proven. Averaging techniques from the continuous velocity case being unavailable when the velocities are discrete, the approach is based on direct $L^1$-compactness arguments using the Kolmogorov-Riesz theorem.
Classification : 82C22, 82C40
Keywords: Broadwell equation, discrete velocity Boltzmann equation, existence theory 
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Arkeryd, Leif; Nouri, Anne. Stationary Solutions to the Two-Dimensional Broadwell Model. Documenta mathematica, Tome 25 (2020), pp. 2023-2048. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a15/