Stationary Particle Systems Approximating Stationary Solutions to the Boltzmann Equation

Stationary Particle Systems Approximating Stationary Solutions to the Boltzmann Equation

We show that a regularized stationary Boltzmann equation with diffusive boundary conditions can be rigorously derived from a suitable stochastic N-particle system. To do this, we prove that the L1-distance between the k-particle density and the k-fold product of the solution to the stationary Boltzm...

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Veröffentlicht in:SIAM journal on mathematical analysis 1998-07, Vol.29 (4), p.913-934
Hauptverfasser: Caprino, S., Pulvirenti, M., Wagner, W.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Mathematical problems
Random variables
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Zusammenfassung:We show that a regularized stationary Boltzmann equation with diffusive boundary conditions can be rigorously derived from a suitable stochastic N-particle system. To do this, we prove that the L1-distance between the k-particle density and the k-fold product of the solution to the stationary Boltzmann equation is of order 1/N.
ISSN:0036-1410
1095-7154
DOI:10.1137/S0036141096309988