On the controllability of the Vlasov-Poisson system in the presence of external force fields

DOI10.1016/j.jde.2012.02.007zbMath1238.35160OpenAlexW2962921723MaRDI QIDQ414819

Olivier Glass, Daniel Han-Kwan

Publication date: 11 May 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.02.007

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Vlasov equations (35Q83) PDEs in connection with control and optimization (35Q93)

Related Items (7)

Optimal control of a Vlasov-Poisson plasma by fixed magnetic field coils ⋮ Small data solutions for the Vlasov-Poisson system with a repulsive potential ⋮ Efficacy of a magnetic shield against a Vlasov-Poisson plasma ⋮ Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization ⋮ On the controllability of the relativistic Vlasov-Maxwell system ⋮ Small-time global stabilization of the viscous Burgers equation with three scalar controls ⋮ Controllability of some collisional and non-collisional kinetic equations: Fokker-Planck and Vlasov-Navier-Stokes

Cites Work

• 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 asymptotic stabilization for controllable systems without drift
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• On the controllability of the Vlasov-Poisson system.
• On the controllability of 2-D incompressible perfect fluids
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
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