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Etudes théorique et numérique d'un modèle non-stationnaire de catalyseurs à passages cylindriques

Abstract : The aim of this work is to study a model describing the spatial and temporal evolutions of the concentrations of different chemical species in gazeous phase going through a cylinder and that of the temperature in the cylinder and on its boundary. This system is coupling parabolic partial differential equations giving the spatial evolution of the concentrations and of the temperature in the cylinder with one parabolic partial differential equation and some ordinary differential equations giving the temporal evolution of the concentrations and of the temperature on the boundary. This system is also coupling all the equations on the boundary together.
We establish the existence and uniqueness of the solution, as well as some qualitative properties of this solution such as the existence of upper and lower bounds. We also study the behaviour of the solution when the time growth to infinity.
We build a numerical method in order to obtain graphs of the solution under different initial and boundary conditions.
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https://tel.archives-ouvertes.fr/tel-00002403
Contributor : Jean-David Hoernel <>
Submitted on : Sunday, February 16, 2003 - 2:32:13 AM
Last modification on : Tuesday, October 16, 2018 - 2:26:02 PM
Long-term archiving on: : Friday, April 2, 2010 - 8:05:26 PM

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Jean-David Hoernel. Etudes théorique et numérique d'un modèle non-stationnaire de catalyseurs à passages cylindriques. Mathématiques [math]. Université de Haute Alsace - Mulhouse, 2002. Français. ⟨tel-00002403⟩

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