2021/03/13 by Christophe Cheverry, Cheverry, Christophe, Slim Ibrahim +3 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High-Energy Particle Collisions Research #Magnetic confinement fusion research #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2103.07773
openalex publication_date 2021/03/13 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
This article is devoted to the kinetic description in phase space of magnetically confined plasmas. It addresses the problem of stability near equilibria of the Relativistic Vlasov Maxwell system. We work under the Glassey-Strauss compactly supported momentum assumption on the density function f(t,⋅). Magnetically confined plasmas are characterized by the presence of a strong external magnetic field x ↦ ε-1 Be(x), where ε is a small parameter related to the inverse gyrofrequency of electrons. In comparison, the self consistent internal electromagnetic fields (E,B) are supposed to be small. In the non-magnetized setting, local C1 -solutions do exist but do not exclude the possibility of blow up in finite time for large data. Consequently, in the strongly magnetized case, since ε-1 is large, standard results predict that the lifetime Tε of solutions may shrink to zero when ε goes to 0 . In this article, through field straightening, and a time averaging procedure we show a uniform lower bound (0