Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip
Analysis of PDEs
2015-03-13 v1
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.
Keywords
Cite
@article{arxiv.1209.5767,
title = {Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip},
author = {G. G. Doronin and N. A. Larkin},
journal= {arXiv preprint arXiv:1209.5767},
year = {2015}
}