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Modélisation de mélanges gazeux réactifs ionisés dissipatifs

Abstract : We investigate macroscopic models of PDE for ionised reactive gas
mixtures and we perform some mathematical studies and numerical
simulations. We obtain the macroscopic equations just like expressions for transport fluxes by using the Enskog expansion of a generalized Boltzmann equation. We then investigate symmetry properties given by the entropy for the coupled system composed with the fluid equations and the Maxwell's equations and we prove local existence and uniqueness of a bounded smooth solution for the Cauchy problem. We next investigate a system modeling ambipolar plasmas where the electron mass is considerd as a parameter. We establish the continuous dependence of global solutions with respect to vanishing electron mass. We finally compute plane and strained ionised flames for hydrogen-air mixture et we obtain classical structures with weak impact of ionisation.
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Contributor : Benjamin Graille Connect in order to contact the contributor
Submitted on : Friday, November 26, 2004 - 11:38:44 AM
Last modification on : Wednesday, October 20, 2021 - 12:23:57 AM
Long-term archiving on: : Monday, September 20, 2010 - 12:02:59 PM


  • HAL Id : tel-00007444, version 2



Benjamin Graille. Modélisation de mélanges gazeux réactifs ionisés dissipatifs. Mathématiques [math]. Ecole Polytechnique X, 2004. Français. ⟨tel-00007444v2⟩



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