Abstract
Consider the motion of a gas of electrons with a background of ions, subject to the self-consistent electric field and to a constant external magnetic field. As the Debye length and the Larmor radius vanish at the same rate, the asymptotic current density is governed by the 2D1/2 incompressible Euler equation. Establishing limit requires to overcome various difficulties: compactness with respect to the space variable, control of large velocities, oscillations in the time variable. Yet, for particular initial data, the simultaneous gyrokinetic and quasineutral approximation is completely justified.
| Original language | English |
|---|---|
| Pages (from-to) | 661-714 |
| Number of pages | 54 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 13 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 May 2003 |
Keywords
- Gyrokinetic approximation
- High frequency filtering
- Quasineutral limit
- Relative entropy method
- Vlasov-Poisson