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On the particle approximation to stationary solutions of the Boltzmann equation

1 Dipartimento di Matematica, Università di Roma La Sapienza Piazzale Aldo Moro 5, 00185 Roma–Italy
2 International Research Center M&MOCS, Università dell’Aquila, Palazzo Caetani, Cisterna di Latina, (LT) 04012 Italy.

† This contribution is part of the Special Issue: Nonlinear models in applied mathematics
   Guest Editor: Giuseppe Maria Coclite
   Link: https://www.aimspress.com/newsinfo/1213.html

Special Issues: Nonlinear models in applied mathematics

We discuss the problem of the approximation of the solutions of the stationary Boltzmann equation, driven by diffuse boundary conditions at varying temperature, by means of stochastic particle systems. In particular we extend a previous results, by substituting the hypothesis of a cutoff on small and large velocities with the presence of an external field.
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Keywords Boltzmann equation; particle approximation; scaling limits

Citation: Mario Pulvirenti. On the particle approximation to stationary solutions of the Boltzmann equation. Mathematics in Engineering, 2019, 1(4): 699-714. doi: 10.3934/mine.2019.4.699


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