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Boundary value problem for the N-dimensional time periodic Vlasov–Poisson system

✍ Scribed by M. Bostan

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
389 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this work, we study the existence of time periodic weak solution for the N‐dimensional Vlasov–Poisson system with boundary conditions. We start by constructing time periodic solutions with compact support in momentum and bounded electric field for a regularized system. Then, the a priori estimates follow by computations involving the conservation laws of mass, momentum and energy. One of the key point is to impose a geometric hypothesis on the domain: we suppose that its boundary is strictly star‐shaped with respect to some point of the domain. These results apply for both classical or relativistic case and for systems with several species of particles. Copyright © 2006 John Wiley & Sons, Ltd.

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