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- W2053888045 abstract "The “Tokamak” is a machine where the plasma is confined inside a toroidal vessel by the magnetic field due to currents in external coils. In the present Tokamaks the free plasma boundary is a flux line which is in contact with a given limiter. We first give a simplified model for the plasma axisymmetric equilibrium. We prove, under suitable assumptions on the limiter, the existence of such an equilibrium for given external currents. We then establish the existence of external currents for which the domain aoccupied by the plasma is as close as possible to a given domain. For this problem, which is formulated as an optimal control problem, the first order necessary optimality conditions are obtained by introducing a suitable adjoint state." @default.
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- W2053888045 date "1986-09-01" @default.
- W2053888045 modified "2023-09-26" @default.
- W2053888045 title "Existence and Control of Plasma Equilibrium in a Tokamak" @default.
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- W2053888045 doi "https://doi.org/10.1137/0517081" @default.
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