On a charge interacting with a plasma of unbounded mass

Silvia Caprino; Carlo Marchioro

doi:10.3934/krm.2011.4.215

Article Contents

2011, Volume 4, Issue 1: 215-226. Doi: 10.3934/krm.2011.4.215

This issue Previous Article On a continuous mixed strategies model for evolutionary game theory Next Article Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system

On a charge interacting with a plasma of unbounded mass

Silvia Caprino^1, and
Carlo Marchioro^2,

1.
Dipartimento di Matematica, Università di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma
2.
Dipartimento di Matematica, Università La Sapienza, Piazzale Aldo Moro 2, 00185 Roma

Received: September 2010

Revised: November 2010

Published: March 2011

Abstract / Introduction Related Papers Cited by

Abstract

We consider a positive Vlasov-Helmholtz plasma in interaction with a positive point charge in $\R^2$ and we prove an existence and uniqueness theorem for this system without any assumption on the decay at infinity of the spatial density.

Keywords:

Vlasov-Helmholtz plasma,
infinitely extended systems.

Mathematics Subject Classification: Primary: 82D10, 35Q99; Secondary: 35L60.

Citation:

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References

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