Well-posedness of a diffusive gyro-kinetic model
| Autor: | Maxime Hauray, Anne Nouri |
|---|---|
| Přispěvatelé: | Laboratoire d'Analyse, Topologie, Probabilités (LATP), Université Paul Cézanne - Aix-Marseille 3-Université de Provence - Aix-Marseille 1-Centre National de la Recherche Scientifique (CNRS), ANR-07-BLAN-0178,EGYPT,Etude GYrocinétique des Plasmas Turbulents(2007), ANR: EGYPT,EGYPT |
| Rok vydání: | 2011 |
| Předmět: |
Finite Larmor radius approximation
Gyroradius 35Q35 35Q83 35Q84 01 natural sciences Mathematics - Analysis of PDEs Physics::Plasma Physics FOS: Mathematics [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Uniqueness 0101 mathematics Tokamak plasmas Mathematical Physics Cauchy problem Physics Applied Mathematics 010102 general mathematics Larmor formula Magnetic field 010101 applied mathematics Classical mechanics Distribution function Physics::Space Physics Electric potential Convection–diffusion equation Analysis Analysis of PDEs (math.AP) |
| Zdroj: | Annales de l'Institut Henri Poincaré C, Analyse non linéaire Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011, 28 (4), pp.529-550. ⟨10.1016/j.anihpc.2011.03.002⟩ Annales de l'Institut Henri Poincaré (C) Non Linear Analysis Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2011, 28 (4), pp.529-550. ⟨10.1016/j.anihpc.2011.03.002⟩ |
| ISSN: | 0294-1449 1873-1430 |
| DOI: | 10.1016/j.anihpc.2011.03.002 |
| Popis: | We study a finite Larmor radius model used to describe the ions distribution function in the core of a tokamak plasma, that consists in a gyro-kinetic transport equation coupled with an electro-neutrality equation. Since the last equation does not provide enough regularity on the electric potential, we introduce a simple linear collision operator adapted to the finite Larmor radius approximation. We next study the two-dimensional dynamics in the direction perpendicular to the magnetic field. Thanks to the smoothing effects of the collision and the gyro-average operators, we prove the global existence of solutions, as well as short time uniqueness and stability. |
| Databáze: | OpenAIRE |
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