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Controlling a Vlasov–Poisson Plasma by a Particle-in-Cell Method Based on a Monte Carlo Framework

Controlling a Vlasov–Poisson Plasma by a Particle-in-Cell Method Based on a Monte Carlo Framework

The Vlasov-Poisson system describes the time evolution of a plasma in the so-called collisionless regime.The investigation of a high-temperature plasma that is influenced by an exterior magnetic field is one of the most significant aspects of thermonuclear fusion research.In this paper, we formulate and analyze a kinetic optimal control problem …