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
✦ LIBER ✦
Global existence of classical solutions to the Vlasov–Poisson–Boltzmann system with given magnetic field
✍ Scribed by Jie Liao; Xiongfeng Yang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 299 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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We propose a result of local existence and uniqueness of a mild solution to the one-dimensional Vlasov-Poisson system. We establish the result for an initial condition lying in the space W 1,1 (R 2 ), then we extend it to initial conditions lying in the space BV(R 2 ), without any assumption of cont