Optimal control of a Vlasov-Poisson plasma by an external magnetic field

DOI10.1007/s00526-018-1407-xzbMath1401.49070arXiv1808.00547OpenAlexW3102486931WikidataQ129352593 ScholiaQ129352593MaRDI QIDQ1800880

Patrik Knopf

Publication date: 26 October 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00547

zbMATH Keywords

magnetic fieldsVlasov-Poisson plasma

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05) Vlasov equations (35Q83)

Related Items (10)

A general way to confined stationary Vlasov-Poisson plasma configurations ⋮ Optimal control of a Vlasov-Poisson plasma by fixed magnetic field coils ⋮ Efficacy of a magnetic shield against a Vlasov-Poisson plasma ⋮ On state feedback control of a class of nonlinear PDE systems in finite dimension ⋮ Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization ⋮ Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth ⋮ Confined steady states of the relativistic Vlasov-Maxwell system in an infinitely long cylinder ⋮ Hot Plasma in a Container---an Optimal Control Problem ⋮ Optimal control of the two-dimensional Vlasov-Maxwell system ⋮ On the two and one-half dimensional Vlasov-Poisson system with an external magnetic field: global well-posedness and stability of confined steady states

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