Global Existence of Classical Solutions to the Vlasov-Poisson-Boltzmann System
โ Scribed by Tong Yang; Huijiang Zhao
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 355 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0010-3616
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๐ SIMILAR VOLUMES
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
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.