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Discrete coagulation-fragmentation system with transport and diffusion

Stéphane Brull — 2008

Annales de la faculté des sciences de Toulouse Mathématiques

We prove the existence of solutions to two infinite systems of equations obtained by adding a transport term to the classical discrete coagulation-fragmentation system and in a second case by adding transport and spacial diffusion. In both case, the particles have the same velocity as the fluid and in the second case the diffusion coefficients are equal. First a truncated system in size is solved and after we pass to the limit by using compactness properties.

Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model

Stéphane Brull;  Pierre Degond;  Fabrice Deluzet;  Alexandre Mouton — 2011

ESAIM: Proceedings

The present work is devoted to the simulation of a strongly magnetized plasma as a mixture of an ion fluid and an electron fluid. For simplicity reasons, we assume that each fluid is isothermal and is modelized by Euler equations coupled with a term representing the Lorentz force, and we assume that both Euler systems are coupled through a quasi-neutrality constraint of the form  =  . The numerical method...

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