修正卡马萨-霍姆方程在\(B_{\infty ,1}^0\) 中的考奇问题的非确定性

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2024-10-19 DOI:10.1007/s00021-024-00903-1

Zhen He, Zhaoyang Yin

引用次数: 0

摘要

在本文中，我们证明了修正的卡马萨-霍姆方程在 \(B_{\infty ,1}^0\) 中的规范膨胀性并得到了其失摆性。因此，我们完成了修正的卡马萨-霍姆方程在所有临界空间 \(B_{p,1}^frac{1}{p}\) with \(p\in [1,\infty ]\) 中的所有好摆性和坏摆性问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Ill-Posedness for the Cauchy Problem of the Modified Camassa-Holm Equation in \(B_{\infty ,1}^0\)

In this paper, we prove the norm inflation and get the ill-posedness for the modified Camassa-Holm equation in \(B_{\infty ,1}^0\). Therefore we completed all well-posedness and ill-posedness problem for the modified Camassa-Holm equation in all critical spaces \(B_{p,1}^\frac{1}{p}\) with \(p\in [1,\infty ]\).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.