Objective Research objectives and content We are interested in boundary layers problems that are of particular interest in plasma physics. These problems lead to the study of singular perturbations for the Vlasov-Poisson system, when a kinetic description is used for the plasma, or for the Euler-Poisson system, when a fluid model is considered. The first stage concerns the one dimensional stationary case. Then we will turn to the modelling of the evolution problem. This is the core of our project: the different phenomena call for a multiple time scale analysis and pose interesting mathematical problems such as Euler-Poisson system resolution. Next, a numerical code will be developed that will treat the unstationary system. Finally we will study the derivation and numerical implementation of multidimensional models. Training content (objective, benefit and expected impact) Through this project, I will have to deal with all the aspects of applied mathematics: modelling, analytical study and numerical simulation. Also, I have a unique opportunity to share the great expertise that researchers at CMAP have acquired on this subject. Links with industry / industrial relevance (22) The simulation of plasma devices is becoming an important industrial issue. We are in contact with Sollac, Thomson, Pirelli and St. Gobain Recherche who are very interested in our numerical codes. Fields of science natural sciencesphysical sciencesplasma physicsnatural sciencesmathematics Programme(s) FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998 Topic(s) 0301 - Post-graduate research training grants TM24 - Applied Mathematics Call for proposal Data not available Funding Scheme RGI - Research grants (individual fellowships) Coordinator Centre National de la Recherche Scientifique EU contribution No data Address Route de Saclay 91128 Palaiseau France See on map Total cost No data Participants (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all Not available Italy EU contribution No data Address See on map Total cost No data
