Affiliation:
1. School of Mathematics and Statistics Ningbo University Ningbo China
2. School of Mathematical Sciences Zhejiang Normal University Jinhua China
Abstract
In this paper, we study several problems of the fifth‐order Camassa‐Holm type (FOCHT) equation. The local well‐posedness and blow‐up scenario are established at first. Then we prove the global existence under some conditions and analyze the large‐time behavior of the support of momentum density. Finally, we discuss the persistence property in Sobolev space.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics