Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system
Bostan, M.
Commun. Math. Sci., Tome 3 (2005) no. 1, p. 621-663 / Harvested from Project Euclid
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In this work we study the existence of time periodic weak solution for the three dimensional Vlasov-Maxwell system with boundary conditions. The main idea consists of using the mass, momentum and energy conservation laws which allow us to obtain a priori estimates in the case of a star-shaped bounded spatial domain. We start by constructing time periodic smooth solutions for a regularized system. The existence for the Vlasov-Maxwell system follows by weak stability under uniform estimates. These results apply for both classical and relativistic cases and for systems with several species of particles.
Publié le : 2005-12-14
Classification:  35F30,  35B10,  35D05,  35Q60,  76X05,  82D10 
@article{1144429336,
     author = {Bostan, M.},
     title = {Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system},
     journal = {Commun. Math. Sci.},
     volume = {3},
     number = {1},
     year = {2005},
     pages = { 621-663},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1144429336}
}

Bostan, M. Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system. Commun. Math. Sci., Tome 3 (2005) no. 1, pp.  621-663. http://gdmltest.u-ga.fr/item/1144429336/