On stationary solutions to normal, coplanar discrete Boltzmann equation models
Résumé
The paper proves existence of renormalized solutions for a class of velocity-discrete coplanar stationary Boltzmann equations with given indata. The proof is based on the construction of a sequence of approximations with L 1 compactness for the integrated collision frequency and gain term. L 1 compactness of a sequence of approximations is obtained using the Kolmogorov-Riesz theorem and replaces the L 1 compactness of velocity averages in the continuous velocity case, not available when the velocities are discrete. .
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