HAL: hal-00483023, version 1

arXiv: 1005.2104

DOI: 10.1016/j.anihpc.2011.03.002

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Annales de l'Institut Henri Poincare (C) Non Linear Analysis 28, 4 (2011) 529-550

WELL-POSEDNESS OF A DIFFUSIVE GYROKINETIC MODEL

Maxime Hauray 1, Anne Nouri 1

(2011-07)

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.

1:	Laboratoire d'Analyse, Topologie, Probabilités (LATP)
	CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III

Subject

:

Mathematics/Analysis of PDEs

Keyword(s): Tokamak plasmas – Finite Larmor radius approximation

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From: Maxime Hauray <>

Submitted on: Wednesday, 12 May 2010 12:45:59

Updated on: Wednesday, 8 May 2013 22:46:51