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Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2011

WELL-POSEDNESS OF A DIFFUSIVE GYROKINETIC MODEL

Anne Nouri

Résumé

We study a finite Larmor radius model used to describe the ions distributions in the core of a toka- mak plasma, that consist in a gyro-kinetic transport equation, coupled with an electro-neutrality equation. Since the last equation do not provide enough regularity on the electric potential, we introduce a simple linear collision operator adapted to the finite Larmor radius approximation. Next we study the two-dimensional dynamics in the direction perpendicular to the magnetic field and prove thanks to the smoothing effects of the collisions and of the gyro-average the global existence of solutions, as well as short time uniqueness and stability.
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Dates et versions

hal-00483023 , version 1 (12-05-2010)

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Maxime Hauray, Anne Nouri. WELL-POSEDNESS OF A DIFFUSIVE GYROKINETIC MODEL. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011, 28 (4), pp.529-550. ⟨10.1016/j.anihpc.2011.03.002⟩. ⟨hal-00483023⟩
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