We study the global existence and uniqueness of regular solutions to the Cauchy problem for the Vlasov-Poisson-Fokker-Planck system. Two existence theorems for regular solutions are given under slightly different initial conditions. One of them completely includes the results of P.
✦ LIBER ✦
Global existence for the Vlasov-Poisson/Fokker-Planck equation in many dimensions, for small data
✍ Scribed by L. Triolo
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 415 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Global Existence of Regular Solutions fo
✍
Kosuke Ono
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 100 KB
Global existence for the Vlasov–Darwin s
✍
Saïd Benachour; Francis Filbet; Philippe Laurençot; Eric Sonnendrücker
📂
Article
📅
2003
🏛
John Wiley and Sons
🌐
English
⚖ 179 KB
## Abstract We prove the global existence of weak solutions to the Vlasov–Darwin system in R3 for small initial data. The Vlasov–Darwin system is an approximation of the Vlasov–Maxwell model which is valid when the characteristic speed of the particles is smaller than the light velocity, but not to