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Yet another criterion for global existence in the 3D relativistic Vlasov-Maxwell system - MaRDI portal

Yet another criterion for global existence in the 3D relativistic Vlasov-Maxwell system (Q2517342)

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Yet another criterion for global existence in the 3D relativistic Vlasov-Maxwell system
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    Yet another criterion for global existence in the 3D relativistic Vlasov-Maxwell system (English)
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    18 August 2015
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    The key idea of the work consist of the introduction of an artificial weight \((1+\omega\cdot v)^{-1}\) into the integral of plasma particles density weighted by the relativistic factor in a momentum space. Here \(v\) is a dimensionless velocity and \(|\omega|\leq 1\). Such a factor allows for avoiding ``a logarithmic loss'' that results in the easier introduction of several bounding estimators for the relativistic Vlasov-Maxwell system, which are presented.
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    Vlasov-Maxwell equations
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    relativistic plasma
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    global existence
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