Abstract
We introduce a long wave scaling for the Vlasov-Poisson equation and derive, in the cold ions limit, the Korteweg-de Vries equation (in 1D) and the Zakharov-Kuznetsov equation (in higher dimensions, in the presence of an external magnetic field). The proofs are based on the relative entropy method.
| Original language | English |
|---|---|
| Pages (from-to) | 961-993 |
| Number of pages | 33 |
| Journal | Communications in Mathematical Physics |
| Volume | 324 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Dec 2013 |
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