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December  2008, 1(4): 619-639. doi: 10.3934/krm.2008.1.619

Existence and uniqueness of the electric potential profile in the edge of tokamak plasmas when constrained by the plasma-wall boundary physics

Claudia Negulescu 1, , Anne Nouri 1, , Philippe Ghendrih 2, and  Yanick Sarazin 2,

1. 

CMI/LATP (UMR 6632), Université de Provence, 39, rue Joliot Curie, 13453 Marseille Cedex 13, France, France
2. 

CEA, IRFM, F-13108 Saint-Paul-lez-Durance, France, France

Received  June 2008 Revised  September 2008 Published  October 2008

The electric potential plays a key role in the confinement properties of tokamak plasmas, with the subsequent impact on the performances of fusion reactors. Understanding its structure in the peripheral plasma -- interacting with solid materials -- is of crucial importance, since it governs the boundary conditions for the burning core plasma. This paper aims at highlighting the dedicated impact of the plasma-wall boundary layer on this peripheral region. Especially, the physics of plasma-wall interactions leads to non-linear constraints along the magnetic field. In this framework, the existence and uniqueness of the electric potential profile are mathematically investigated. The working model is two-dimensional in space and time evolving.
Keywords: Existence, Plasma, Energy estimate, Fluid model, Nonlinear boundary conditions, Controlled fusion, Uniqueness.
Mathematics Subject Classification: Primary: 34B15, 34G20, 35Q30; Secondary: 82D10, 76F25, 76F70.
Citation: Claudia Negulescu, Anne Nouri, Philippe Ghendrih, Yanick Sarazin. Existence and uniqueness of the electric potential profile in the edge of tokamak plasmas when constrained by the plasma-wall boundary physics. Kinetic and Related Models, 2008, 1 (4) : 619-639. doi: 10.3934/krm.2008.1.619
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