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- W2037529822 abstract "Consider the plane motion of a plasma subject to a magnetic field orthogonal to the plane. The equation on the density obtained in the gyrokinetic limit (as | B | tends to infinity), the so-called drift equation, lets appear a defect measure μ corresponding to a possible lack of energy at large velocities [F. Golse, L. Saint-Raymond, The guiding center approximation for the Vlasov–Poisson System, J. Math. Pures Appl. 78 (1999) 791–817]. In the present paper, it is proved that μ is symmetric and so is not involved in the drift equation. Moreover, for sufficiently smooth initial data, μ is actually equal to zero. Considérons le mouvement plan d'un plasma soumis à un champ magnétique orthogonal au plan. L'équation sur la densité, obtenue dans la limite gyrocinétique (quand | B | tend vers l'infini), appelée équation de dérive, fait apparaı̂tre une mesure de défaut μ , correspondant à une perte d'énergie possible aux grandes vitesses [F. Golse, L. Saint-Raymond, The guiding center approximation for the Vlasov–Poisson System, J. Math. Pures Appl. 78 (1999) 791–817]. Nous montrons ici que cette mesure μ est nécessairement symétrique et que par conséquent elle n'intervient pas dans l'équation de dérive. De plus, pour des données initiales suffisamment régulières, nous établissons que μ =0." @default.
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- W2037529822 date "2002-01-01" @default.
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- W2037529822 title "Control of large velocities in the two-dimensional gyrokinetic approximation" @default.
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- W2037529822 doi "https://doi.org/10.1016/s0021-7824(01)01245-4" @default.
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