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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
