Commun. Math. Phys. 135, 41 - 78 (1990)
Generic global solutions of the relativistic
Vlasov-Maxwell system of plasma physics
G. Rein
The behaviour of classical solutions of the relativistic Vlasov-Maxwell
system under small perturbations of the initial data is investigated.
First it is shown that the solutions depend continuously on the initial
data with respect to various norms. The main result is on global
solutions: A global solution whose electromagnetic field decays
in a certain way for large times is shown to remain global under
small perturbations of the initial data and to retain the decay behaviour
of the field. Therefore, such global solutions are generic. This result
implies the existence of global solutions
for nearly symmetric initial data.
Gerhard Rein (rein@rz.mathematik.uni-muenchen.de)