The ill-posedness for the rotation Camassa-Holm equation in Besov space $B_{\infty ,1}^1(\mathbb{R})$

Abstract

In this paper, we present a construction of $u_0\in B_{\infty ,1}^1$ and get the local ill-posedness for the rotation Camassa-Holm equation modelling the equatorial water waves with the weak Coriolis effect by proving the norm inflation.

10 pages. arXiv admin note: text overlap with arXiv:2110.14204, arXiv:2112.10081