| Title | Adiabatic limit of the Zakharov-Rubenchik Equation |
| Publication Type | Unpublished |
| Year of Publication | 2007 |
| Authors | Oliveira F |
| Series Title | Preprint |
| Keywords | Alfvén waves, Hyperbolic Symmetric systems, Schrödinger-like Equations |
| Abstract | The Zakharov-Rubenchik system appears in the context of Alfvén waves propagating in a magnetized plasma. This system “contains” the well-known Zakharov Equation and the Benney Equation for the interaction of high and low frequency waves. We prove the pointwise convergence of the magnetic field B to a solution of the Nonlinear Schrödinger Equation, in the adiabatic limit ε → 0. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2007/18_07.pdf |
