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The Vlasov–Maxwell–Boltzmann System in the Whole Space

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Abstract

The Vlasov–Maxwell–Boltzmann system is one of the most fundamental models to describe the dynamics of dilute charged particles, where particles interact via collisions and through their self-consistent electromagnetic field. We prove existence of global in time classical solutions to the Cauchy problem near Maxwellians.

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Authors and Affiliations

  1. Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

    Robert M. Strain

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  1. Robert M. Strain
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Correspondence to Robert M. Strain.

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Communicated by H.-T. Yau

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Strain, R.M. The Vlasov–Maxwell–Boltzmann System in the Whole Space. Commun. Math. Phys. 268, 543–567 (2006). https://doi.org/10.1007/s00220-006-0109-y

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  • DOI: https://doi.org/10.1007/s00220-006-0109-y

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