Adiabatic limit of the Zakharov-Rubenchik Equation

Título	Adiabatic limit of the Zakharov-Rubenchik Equation
Publication Type	Unpublished
Year of Publication	2007
Authors	Oliveira F
Series Title	Preprint
Palavras-chave	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

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