IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
IECL - Institut Élie Cartan de Lorraine (Université de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex
Ile du Saulcy - 57 045 Metz Cedex 01 - France)
Abstract : When solving numerically approximations of the Vlasov-Maxwell equations, the source terms in Maxwell's equations coming from the numerical solution of the Vlasov equation do generally not satisfy the continuity equation which is necessary for Maxwell's equations to be well-posed. Hence it is necessary to introduce generalized Maxwell's equations which are still well-posed when there are errors in the sources. Different such formulations have been introduced previously. The aim of this paper is to perform their mathematical analysis and verify the existence and uniqueness of the solution.
https://hal.inria.fr/inria-00070176 Contributor : Rapport de Recherche InriaConnect in order to contact the contributor Submitted on : Friday, May 19, 2006 - 7:19:51 PM Last modification on : Friday, February 4, 2022 - 3:30:14 AM Long-term archiving on: : Sunday, April 4, 2010 - 8:24:56 PM