Magnetic confinement at a boundary approximates specular reflection

Katherine Zhiyuan Zhang

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Magnetic confinement at a boundary approximates specular reflection

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arxiv 2002.04804 v2 pith:VKJFDFRQ submitted 2020-02-12 math-ph math.APmath.MP

Katherine Zhiyuan Zhang This is my paper · ORCID

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keywords boundarymagneticconfinementconjecturedomainfieldreflectionspecular

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abstract

We conjecture that for a plasma in a spatial domain with a boundary, the specular reflection effect of the boundary can be approximated by a large magnetic confinement field in the near-boundary region. In this paper, we verify this conjecture for the 1.5D relativistic Vlasov-Maxwell system (RVM) on a bounded domain $\Omega = (0, 1)$ with an external confining magnetic field.

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