A new optimization framework to design steady equilibrium solutions of the VlasovPoisson system by means of external electric fields is presented. This optimization framework requires the minimization of an ensemble functional with Tikhonov regularization of the control field under the differential constraint of a nonlinear elliptic equation that models equilibrium solutions of the Vlasov--Poisson system. Existence of optimal control fields and their characterization as solutions to first-order optimality conditions are discussed. Num
Optimal Design of Equilibrium Solutions of the Vlasov–Poisson System by an External Electric Field
Infante, G.;Mascali, G.
2025-01-01
Abstract
A new optimization framework to design steady equilibrium solutions of the VlasovPoisson system by means of external electric fields is presented. This optimization framework requires the minimization of an ensemble functional with Tikhonov regularization of the control field under the differential constraint of a nonlinear elliptic equation that models equilibrium solutions of the Vlasov--Poisson system. Existence of optimal control fields and their characterization as solutions to first-order optimality conditions are discussed. NumFile in questo prodotto:
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