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76-XX Fluid mechanics
76Pxx Rarefied gas flows, Boltzmann equation
76P05 Rarefied gas flows, Boltzmann equation

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Numerical analysis of coupling for a kinetic equation

Moulay Tidriri (1999)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Numerical analysis of coupling for a kinetic equation

Moulay Tidriri (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper we introduce a coupled systems of kinetic equations for the linearized Carleman model. We then study the existence theory and the asymptotic behaviour of the resulting coupled problem. In order to solve the coupled problem we propose to use the time marching algorithm. We then develop a convergence theory for the resulting algorithm. Numerical results confirming the theory are then presented.

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