TWO-SCALE MACRO–MICRO DECOMPOSITION OF THE VLASOV EQUATION WITH A STRONG MAGNETIC FIELD
Nicolas Crouseilles, Emmanuel Frénod, Sever A. Hirstoaga, Alexandre Mouton · Mathematical Models and Methods in Applied Sciences · 2012
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 circumscribed 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.