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. Electronic Journal of Differential Equations, 2005(01), pp. 1-17.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.