This work is devoted to prove the existence of weak solutions of the kinetic Vlasov-Poisson-Fokker-Planck system in bounded domains for attractive or repulsive forces. Absorbing and reflectiontype boundary conditions are considered for the kinetic equation and zero values for the potential on the bo
Global Existence of Regular Solutions for the Vlasov–Poisson–Fokker–Planck System
✍ Scribed by Kosuke Ono
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 100 KB
- Volume
- 263
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
The form of steady state solutions to the Vlasov᎐Poisson᎐Fokker᎐Planck system is known from the works of Dressler and others. In these papers an external < < potential is present which tends to infinity as x ª ϱ. It is shown here that this assumption is needed to obtain nontrivial steady states. Thi
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