On the one and one-half dimensional relativistic Vlasov–Maxwell–Fokker–Planck system with non-vanishing viscosity
✍ Scribed by Raymond Lai
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 111 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
The relativistic Vlasov-Maxwell-Fokker-Planck system is used in modelling distribution of charged particles in plasma. It consists of a transport equation coupled with the Maxwell system. The diffusion term in the equation models the collisions among particles, whereas the viscosity term signifies the dynamical frictional forces between the particles and the background reservoir. In the case of one space variable and two momentum variables, we prove the existence of a classical solution when the initial density decays fast enough with respect to the momentum variables. The solution which shares this same decay condition along with its first derivatives in the momentum variables is unique.