Stationary Solutions to the Two-Dimensional Broadwell Model
Documenta mathematica, Tome 25 (2020), pp. 2023-2048
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Existence of renormalized solutions to the two-dimensional stationary Broadwell model in a square with given indata in L1 is proven. Averaging techniques from the continuous velocity case being unavailable when the velocities are discrete, the approach is based on direct L1-compactness arguments using the Kolmogorov-Riesz theorem.
DOI : 10.4171/dm/792
Classification : 82C22, 82C40
Mots-clés : Broadwell equation, discrete velocity Boltzmann equation, existence theory
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Leif Arkeryd; Anne Nouri. Stationary Solutions to the Two-Dimensional Broadwell Model. Documenta mathematica, Tome 25 (2020), pp. 2023-2048. doi: 10.4171/dm/792

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