Skip to Main content Skip to Navigation
Theses

On a quantum kinetic linked to the Compton effect - Modelling and 3D simulation of the satellite charge in plasmic environment

Abstract : This work deals with the study of two kinetic equations. The first equation describes the interaction between photons and electrons, called the Compton effect. The kernel in the collision integral presents a strong singularity at energy zero. Existence results to the Cauchy problem are obtained for initial data small enough and locally in time. The second equation is the Vlasov equation coupled with the Poisson equation. The Vlasov-Poisson system represents the interaction between the satellite and the magnetospheric plasma. More precisely, we are interested in the charge phenomenon of a satellite in geostationary orbit. The particles, mainly ions and electrons are described following a kinetic approach. The evolution of their distribution functions are ruled by the Vlasov equation which is coupled with the Poisson equation for the potential. The aim is to solve Vlasov-Poisson in a three-dimensional frame in the whole space. One particle method for the Vlaov equation resolution is coupled with a finite/infinite element method for the resolution of the Poisson equation.
Document type :
Theses
Complete list of metadatas

https://tel.archives-ouvertes.fr/tel-00008427
Contributor : Martine Chane-Yook <>
Submitted on : Wednesday, February 9, 2005 - 4:03:03 PM
Last modification on : Wednesday, October 10, 2018 - 1:26:40 AM
Long-term archiving on: : Friday, April 2, 2010 - 9:07:55 PM

Identifiers

  • HAL Id : tel-00008427, version 1

Collections

Citation

Martine Chane-Yook. On a quantum kinetic linked to the Compton effect - Modelling and 3D simulation of the satellite charge in plasmic environment. Mathematics [math]. Université de Provence - Aix-Marseille I, 2004. English. ⟨tel-00008427⟩

Share

Metrics

Record views

429

Files downloads

609