Stationary solutions of the 1-D Vlasov-Maxwell equations for laser-plasma interaction
Mihai Bostan
35A0582D10kinetic equationsVlasov-Maxwell systemweak/mild solutionscharacteristics
We study a stationary $1$ D Vlasov-Maxwell system which describes the laser-plasma interaction. Three cases are analyzed~: the classical case, the quasi-relativistic case and the relativistic case. We prove the existence of stationary solution and we establish estimates for the charge and current densities.
Indiana University Mathematics Journal
2007
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10.1512/iumj.2007.56.2965
10.1512/iumj.2007.56.2965
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Indiana Univ. Math. J. 56 (2007) 581 - 614
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