Optimum design of equilibrium choices of the Vlasov-Poisson system by an exterior electrical topic
Authors: Alfio Borzì, Gennaro Infante, Giovanni Mascali
Abstract: A model new optimization framework to design common equilibrium choices of the Vlasov-Poisson system by way of exterior electrical fields is obtainable. This optimization framework requires the minimization of an ensemble sensible with Tikhonov regularization of the administration topic beneath the differential constraint of a nonlinear elliptic equation that fashions equilibrium choices of the Vlasov-Poisson system. Existence of optimum administration fields and their characterization as choices to first-order optimality circumstances are talked about. Numerical approximations and optimization schemes are developed to validate the proposed framework.
