Optimal control of a Vlasov-Poisson plasma by fixed magnetic field coils
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Publication:2187336
DOI10.1007/s00245-018-9526-5zbMath1440.49052arXiv1710.09619OpenAlexW3102208303WikidataQ129192352 ScholiaQ129192352MaRDI QIDQ2187336
Publication date: 2 June 2020
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.09619
plasmanonlinear partial differential equationsexternal magnetic fieldVlasov-Poisson equationoptimal control with PDE constraints
Statistical mechanics of plasmas (82D10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05) Vlasov equations (35Q83)
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Cites Work
- Global minima for semilinear optimal control problems
- On the controllability of the Vlasov-Poisson system in the presence of external force fields
- A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror
- Erratum to: ``Global magnetic confinement for the 1.5D Vlasov-Maxwell system
- Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
- Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
- Global symmetric solutions of the initial value problem of stellar dynamics
- On the controllability of the Vlasov-Poisson system.
- Optimal control of a Vlasov-Poisson plasma by an external magnetic field
- Time evolution of a Vlasov-Poisson plasma with magnetic confinement
- On the controllability of the relativistic Vlasov-Maxwell system
- Global magnetic confinement for the 1.5D Vlasov-Maxwell system
- Vlasov-Poisson equations for a two-component plasma in a homogeneous magnetic field
- Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
- Global existence of smooth solutions to the vlasov poisson system in three dimensions
- Optimal Control Applied to Cell-Cycle-Specific Cancer Chemotherapy
- On a Magnetically Confined Plasma with Infinite Charge
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