GEOMETRIC TWO-SCALE CONVERGENCE ON MANIFOLD AND APPLICATIONS TO THE VLASOV EQUATION.

Abstract

International audienceWe develop and we explain the two-scale convergence in the covariant formalism, i.e. using di erential forms on a Riemannian manifold. For that purpose, we consider two manifolds M and Y , the rst one contains the positions and the second one the oscillations. We establish some convergence results working on geodesics on a manifold. Then, we apply this framework on examples