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arxiv: 1111.1506 · v3 · pith:VUVR3ZDSnew · submitted 2011-11-07 · 🧮 math.FA · math.AP· physics.plasm-ph

Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field

Nicolas Crouseilles (IRMAR , Inria - Irmar) , Emmanuel Frenod (Lab-STICC , INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) , Sever Hirstoaga (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) , Alexandre Mouton This is my paper
classification 🧮 math.FA math.APphysics.plasm-ph
keywords two-scaledecompositionequationshapefieldfunctionsmacro-micromagnetic
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In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum of two oscillating functions with circonscribed oscillations. The first of these functions has a shape which is close to the shape of the Two-Scale limit of the solution and the second one is a correction built to offset this imposed shape. The aim of such a decomposition is to be the starting point for the construction of Two-Scale Asymptotic-Preserving Schemes.

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