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arXiv · 1209.5767

Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip

G. G. Doronin·N. A. Larkin
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Abstract

Initial-boundary value problems for the 2D Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and critical sizes of domains are studied. Exponential decay of regular solutions for the original nonlinear problems is proved.

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G. G. Doronin, N. A. Larkin. 2012-09-25. Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip. https://arxiv.org/abs/1209.5767

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