The non-relativistic limit of the Nordström-Vlasov system

Calogero, Simon; Lee, Hayoung

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

The non-relativistic limit of the Nordström-Vlasov system

MPS-Authors

Lee, Hayoung
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

There are no locators available

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

60903.pdf
(プレプリント), 235KB

付随資料 (公開)

There is no public supplementary material available

引用

Calogero, S., & Lee, H. (2004). The non-relativistic limit of the Nordström-Vlasov system. Communications in Mathematical Sciences, 2, 19-34.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-50F4-A

要旨

The Nordström-Vlasov system provides an interesting relativistic generalization of the Vlasov-Poisson system in the gravitational case, even though there is no direct physical application. The study of this model will probably lead to a better mathematical understanding of the class of non-linear systems consisting of hyperbolic and transport equations. In this paper it is shown that solutions of the Nordstr\"om-Vlasov system converge to solutions of the Vlasov-Poisson system in a pointwise sense as the speed of light tends to infinity, providing a further and rigorous justification of this model as a \textit{genuine} relativistic generalization of the Vlasov-Poisson system.