中文

周期 $\mu$-Camassa-Holm 方程的全局保守解

偏微分方程分析 2024-06-19 v2

摘要

本文主要研究周期 μ\mu-Camassa-Holm 方程。我们证明了周期 μ\mu-Camassa-Holm 方程柯西问题全局保守解的存在性。该结果通过引入一个到拉格朗日坐标的坐标变换得到。我们的解连续依赖于初始数据,并具有半群性质。

关键词

引用

@article{arxiv.1609.09176,
  title  = {Global conservative solution for the periodic $\mu$-Camassa-Holm equation},
  author = {Wei Luo and Zhaoyang Yin},
  journal= {arXiv preprint arXiv:1609.09176},
  year   = {2024}
}

备注

This paper has been withdrawn by the author due to a similar result has been published