Functional solutions for the Vlasov-Poisson system
✍ Scribed by J.A. Carrillo; J. Soler
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 338 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
Communicated by P. Markowich
Abstract--Motivated by concentration effects of the energy and singular behaviour of the distribution of particles, a new concept of solution, called functional solution, for the Vlasov-Poisson system in three dimensions is introduced. Global existence of functional solution is studied with positive bounded measures as initial data.
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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.
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