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Strong magnetic field limit in a nonlinear Iwatsuka-type model

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We study the strong magnetic field limit for a nonlinear Iwatsukatype model, i.e. a nonlinear Schrödinger equation in two spatial dimensions with a magnetic vector potential that only depends on… Click to show full abstract

We study the strong magnetic field limit for a nonlinear Iwatsukatype model, i.e. a nonlinear Schrödinger equation in two spatial dimensions with a magnetic vector potential that only depends on the x-coordinate. Using a high-frequency averaging technique, we show that this equation can be effectively described by a nonlocal nonlinear model, which is no longer dispersive. We also prove that, in this asymptotic regime, inhomogeneous nonlinearities are confined along the y-axis.

Keywords: limit nonlinear; model; strong magnetic; magnetic field; field limit

Journal Title: Journal of Differential Equations
Year Published: 2021

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