On classical solutions of the relativistic Vlasov-Klein-Gordon system

Date

2005-01-02

Authors

Kunzinger, Michael
Rein, Gerhard
Steinbauer, Roland
Teschl, Gerald

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We consider a collisionless ensemble of classical particles coupled with a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, the relativistic Vlasov-Klein-Gordon system, we prove local-in-time existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the one-dimensional case.

Description

Keywords

Vlasov equation, Klein-Gordon equation, Classical solutions

Citation

Kunzinger, M., Rein, G., Steinbauer, R., & Teschl, G. (2005). On classical solutions of the relativistic Vlasov-Klein-Gordon system. <i>Electronic Journal of Differential Equations, 2005</i>(01), pp. 1-17.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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