Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong   magnetic field
  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. 
Nicolas Crouseilles (IRMAR, INRIA - IRMAR), Emmanuel Frenod   (Lab-STICC, INRIA Nancy - Grand Est / IECN / LSIIT / IRMA), Se...
math.FA math.AP physics.plasm-ph