Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model

Authors

Mingxuan Zhu¹, Lu Cao², Zaihong Jiang^2, , Zhijun Qiao^{3, *,}

¹School of Mathematical Sciences, Qufu Normal University, Qufu 273100, P. R. China

²Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, P. R. China

³School of Mathematical and Statistical Science, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA

^*Corresponding author. Email: zhijun.qiao@utrgv.edu

DOI

10.2991/jnmp.k.210519.001How to use a DOI?

Keywords

The Fifth order Camassa-Holm (FOCH) model; global existence; infinite propagation speed; long time behavior

Abstract

This paper devotes to present analysis work on the fifth order Camassa-Holm (FOCH) model which recently proposed by Liu and Qiao. Firstly, we establish the local and global existence of the solution to the FOCH model. Secondly, we study the property of the infinite propagation speed. Finally, we discuss the long time behavior of the support of momentum density with a compactly supported initial data.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Mingxuan Zhu
AU  - Lu Cao
AU  - Zaihong Jiang
AU  - Zhijun Qiao
PY  - 2021
DA  - 2021/06/16
TI  - Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model
JO  - Journal of Nonlinear Mathematical Physics
SP  - 321
EP  - 336
VL  - 28
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.k.210519.001
DO  - 10.2991/jnmp.k.210519.001
ID  - Zhu2021
ER  -