REVIEW 1 cited by
Scattering map for the Vlasov-Maxwell system around source-free electromagnetic fields
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We construct an isometric modified scattering operator, mapping any sufficiently regular past scattering state, with a small distribution function, to the future one corresponding to forward evolution by the Vlasov-Maxwell system. The main part of this work is devoted to the construction of a modified wave operator, which relates the future asymptotic dynamics of the solutions to their initial data. Then, by applying our previous results on modified scattering, we are able to construct a small data scattering map for the Vlasov-Maxwell system. Our analysis relies in particular on the study of the asymptotic Maxwell equations. Its solution captures not only the large time behavior of the electromagnetic field of the plasma near future timelike infinity as well as future null infinity, but also the one of its weighted derivatives. The wave operator provides as well a class of global solutions to the Vlasov-Maxwell system which are large in $L^p_{x,v}\times L^2_x$ but initially dispersed.
Forward citations
Cited by 1 Pith paper
-
A note on the non-$L^1$ asymptotic completeness of the Vlasov-Maxwell system
For nonzero asymptotic charge Q∞, small-data solutions of the relativistic Vlasov-Maxwell system do not scatter linearly in L1; linear scattering forces Q∞=0.
Discussion (0). Continue with ORCID to comment.