有界矩形和带状区域上 Zakharov-Kuznetsov 方程正则解的稳定性
偏微分方程分析
2015-03-13 v1
摘要
考虑了在有界矩形和带状区域上提出的二维 Zakharov-Kuznetsov 方程的初边值问题。研究了线性化算子的谱性质和区域的临界尺寸。证明了原始非线性问题正则解的指数衰减性。
引用
@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}
}