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June 2004 Global Weak Solutions to the Relativistic Vlasov-Maxwell System Revisited
Gerhard Rein
Commun. Math. Sci. 2(2): 145-158 (June 2004).


In their seminal work [3], R. DiPerna and P.-L. Lions established the existence of global weak solutions to the Vlasov-Maxwell system. In the present notes we give a somewhat simplified proof of this result for the relativistic version of this system, the main purpose being to make this important result of kinetic theory more easily accessible to newcomers in the field. We show that the weak solutions preserve the total charge.


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Gerhard Rein . "Global Weak Solutions to the Relativistic Vlasov-Maxwell System Revisited." Commun. Math. Sci. 2 (2) 145 - 158, June 2004.


Published: June 2004
First available in Project Euclid: 1 March 2005

zbMATH: 1090.35168
MathSciNet: MR2119935

Rights: Copyright © 2004 International Press of Boston

Vol.2 • No. 2 • June 2004
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