A toy model for the relativistic Vlasov-Maxwell system
نویسندگان
چکیده
<p style='text-indent:20px;'>The global-in-time existence of classical solutions to the relativistic Vlasov-Maxwell (RVM) system in three space dimensions remains elusive after nearly four decades mathematical research. In this note, a simplified "toy model" is presented and studied. This toy model retains one crucial aspect RVM system: phase-space evolution distribution function governed by transport equation whose forcing term satisfies wave with finite speed propagation.</p>
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ژورنال
عنوان ژورنال: Kinetic and Related Models
سال: 2022
ISSN: ['1937-5077', '1937-5093']
DOI: https://doi.org/10.3934/krm.2021053