We study the long-time behaviour of solutions of the Vlasov-Poisson-Fokker-Planck equation for initial data small enough and satisfying some suitable integrability conditions. Our analysis relies on the study of the linearized problems with bounded potentials decaying fast enough for large times. We
✦ LIBER ✦
Time Decay of the Solutions of the Vlasov–Poisson System in the Plasma Physical Case
✍ Scribed by Reinhard Illner; Gerhard Rein
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 207 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
We introduce a new identity satisfied by solutions of the Vlasov-Poisson system. It has the property that all quantities which appear have a definite sign, and this allows us to prove new results on the time decay of the solutions in the plasma physical case.
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