带状区域上的 Kawahara-Burgers 方程
偏微分方程分析
2014-08-26 v1
摘要
研究了定义在通道型带状区域上的二维 Kawahara-Burgers 方程的初边值问题。证明了加权空间中正则解和弱解的存在性与唯一性，并在无需限制带状区域宽度的条件下，证明了小解的指数衰减性：正则解是在提升范数下证明的，而弱解是在 -范数下证明的。
引用
@article{arxiv.1408.5804,
title = {Kawahara-Burgers equation on a strip},
author = {Nikolai Larkin},
journal= {arXiv preprint arXiv:1408.5804},
year = {2014}
}
备注
There are not published results on the existence and decay properties for global regular and weak solutions for the 2D Kawahara-Burgers equation posed on a strip. This seemed to me interesting and challenging. arXiv admin note: substantial text overlap with arXiv:1404.4638