| Autor: |
Michael Kunzinger, Gerhard Rein, Roland Steinbauer, Gerald Teschl |
| Jazyk: |
angličtina |
| Rok vydání: |
2005 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol 2005, Iss 01, Pp 1-17 (2005) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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