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January/February 2010 Large time behavior of the relativistic Vlasov Maxwell system in low space dimension
Robert Glassey, Stephen Pankavich, Jack Schaeffer
Differential Integral Equations 23(1/2): 61-77 (January/February 2010). DOI: 10.57262/die/1356019387


When particle speeds are large the motion of a collisionless plasma is modeled by the relativistic Vlasov Maxwell system. Large time behavior of solutions which depend on one position variable and two momentum variables is considered. In the case of a single species of charge it is shown that there are solutions for which the charge density $(\rho = \int f dv)$ does not decay in time. This is in marked contrast to results for the non-relativistic Vlasov Poisson system in one space dimension. The case when two oppositely charged species are present and the net total charge is zero is also considered. In this case, it is shown that the support in the first component of momentum can grow at most as $t^{\frac{3}{4}}$.


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Robert Glassey. Stephen Pankavich. Jack Schaeffer. "Large time behavior of the relativistic Vlasov Maxwell system in low space dimension." Differential Integral Equations 23 (1/2) 61 - 77, January/February 2010.


Published: January/February 2010
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35549
MathSciNet: MR2588802
Digital Object Identifier: 10.57262/die/1356019387

Primary: 35L60 , 35Q99 , 82C21 , 82C22 , 82D10

Rights: Copyright © 2010 Khayyam Publishing, Inc.


Vol.23 • No. 1/2 • January/February 2010
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