Dispersion and uniform L1-stability estimates of the Vlasov-Poisson system in a half space
Chae, Myeongju ; Ha, Seung-Yeal ; Hwang, Hyung Ju
Commun. Math. Sci., Tome 7 (2009) no. 1, p. 189-209 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We study explicit dispersion and uniform L1-stability estimates to the Vlasov-Poisson system for a collisionless plasma in a half space, when the initial data is sufficiently small and decays fast enough in phase space. This extends the previous results on the dispersion and stability estimates for the whole space case.
Publié le : 2009-03-15
Classification:  Dispersion estimates,  initial-boundary value problem,  Vlasov-Poisson system,  uniform L1-stability,  35A05,  35B65,  78A35 
@article{1238158612,
     author = {Chae, Myeongju and Ha, Seung-Yeal and Hwang, Hyung Ju},
     title = {Dispersion and uniform L1-stability estimates of the Vlasov-Poisson system in a half space},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 189-209},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1238158612}
}

Chae, Myeongju; Ha, Seung-Yeal; Hwang, Hyung Ju. Dispersion and uniform L1-stability estimates of the Vlasov-Poisson system in a half space. Commun. Math. Sci., Tome 7 (2009) no. 1, pp.  189-209. http://gdmltest.u-ga.fr/item/1238158612/