期刊论文

Zhang, Zaiyun

英文

Open Mathematics

2391-5455

2020

18

1

194-203

10.1515/math-2020-0012

This work was supported by Scientific Research Fund of Hunan Provincial Education Department Nos.18A325, 17A087, 17B113, 17C0711, NNSF of China Grant Nos. 11671101, 61863010, 11926205, Natural Science Foundation of Hainan Province No. 119MS036. Also, this work was partially supported by Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering of Changsha University of Science and Technology Grant No. 018MMAEZD191 and NNSF of China Grant Nos. 71471020, 51839002.

本校为其他机构

In this paper, we investigate the Cauchy problem for the N - abc family of Camassa-Holm type equation with both dissipation and dispersion. Furthermore, we establish the blow-up result of the positive solutions in finite time under certain conditions on the initial datum. This result complements the early one in the literature, such as [E. Novruzov, Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation, J. Math. Phys. 54 (2013), no. 9, 092703, DOI 10.1063/1.4820786] and [Z.Y. Zhang, J.H. Huang, and M.B. Sun, Blow-up phenome...