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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.
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Details
1 Qufu Normal University, School of Mathematical Sciences, Qufu, P. R. China (GRID:grid.412638.a) (ISNI:0000 0001 0227 8151)
2 Zhejiang Normal University, Department of Mathematics, Jinhua, P. R. China (GRID:grid.453534.0) (ISNI:0000 0001 2219 2654)
3 University of Texas Rio Grande Valley, School of Mathematical and Statistical Science, Edinburg, USA (GRID:grid.449717.8) (ISNI:0000 0004 5374 269X)