Volume 28, Issue 3, September 2021, Pages 321 - 336
Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model
Mingxuan Zhu1, Lu Cao2, Zaihong Jiang2, , Zhijun Qiao3, *,
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: email@example.com
Received 21 March 2021, Accepted 6 May 2021, Available Online 16 June 2021.
- 10.2991/jnmp.k.210519.001How to use a DOI?
- The Fifth order Camassa-Holm (FOCH) model; global existence; infinite propagation speed; long time behavior
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.
- © 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 -