We consider a space-periodic version of the relativistic Vlasov-Maxwell system describing a collisionless plasma consisting of electrons and positively charged ions. As our main result, we prove that certain spacially homogeneous stationary solutions are nonlinearly stable. To this end we also estab
✦ LIBER ✦
A rigorous stability result for the Vlasov-Poisson system in three dimensions
✍ Scribed by Jürgen Batt; Gerhard Rein
- Book ID
- 112608480
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 1013 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0373-3114
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The initial-value problem for the Vlasov-Poisson system is by now well understood in the case of an isolated system where, by definition, the distribution function of the particles as well as the gravitational potential vanish at spatial infinity. Here we start with homogeneous solutions, which have