On blow-up of solutions to the two-component π-Camassa-Holm system

Caochuan Ma; Ahmed Alsaedi; Tasawar Hayat; Yong Zhou

doi:10.1016/j.jmaa.2015.02.010

On blow-up of solutions to the two-component π-Camassa-Holm system

Caochuan Ma
, Ahmed Alsaedi
, Tasawar Hayat
, Yong Zhou

Tianshui Normal University
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University
Shanghai University of Finance and Economics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We investigate Cauchy problem of the two-component π-Camassa-Holm system which arises from geodesic flow on a semidirect product Lie group of the circle. The precise blow-up scenarios of strong solutions are derived for the system. Then, several criteria to guarantee blow-up of strong solutions are presented. Finally, the exact blow-up rate is determined.

Original language	English
Pages (from-to)	1026-1039
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	426
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2015.02.010
State	Published - 15 Jun 2015
Externally published	Yes

Keywords

Blow-up
Blow-up rate
Geodesic flow
π-Camassa-Holm system

Access to Document

10.1016/j.jmaa.2015.02.010

Cite this

@article{5aeee6ab2f664cd98919cdcd85acd819,

title = "On blow-up of solutions to the two-component π-Camassa-Holm system",

abstract = "We investigate Cauchy problem of the two-component π-Camassa-Holm system which arises from geodesic flow on a semidirect product Lie group of the circle. The precise blow-up scenarios of strong solutions are derived for the system. Then, several criteria to guarantee blow-up of strong solutions are presented. Finally, the exact blow-up rate is determined.",

keywords = "Blow-up, Blow-up rate, Geodesic flow, π-Camassa-Holm system",

author = "Caochuan Ma and Ahmed Alsaedi and Tasawar Hayat and Yong Zhou",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = jun,

day = "15",

doi = "10.1016/j.jmaa.2015.02.010",

language = "English",

volume = "426",

pages = "1026--1039",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On blow-up of solutions to the two-component π-Camassa-Holm system

AU - Ma, Caochuan

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

AU - Zhou, Yong

PY - 2015/6/15

Y1 - 2015/6/15

N2 - We investigate Cauchy problem of the two-component π-Camassa-Holm system which arises from geodesic flow on a semidirect product Lie group of the circle. The precise blow-up scenarios of strong solutions are derived for the system. Then, several criteria to guarantee blow-up of strong solutions are presented. Finally, the exact blow-up rate is determined.

AB - We investigate Cauchy problem of the two-component π-Camassa-Holm system which arises from geodesic flow on a semidirect product Lie group of the circle. The precise blow-up scenarios of strong solutions are derived for the system. Then, several criteria to guarantee blow-up of strong solutions are presented. Finally, the exact blow-up rate is determined.

KW - Blow-up

KW - Blow-up rate

KW - Geodesic flow

KW - π-Camassa-Holm system

UR - https://www.scopus.com/pages/publications/84923631311

U2 - 10.1016/j.jmaa.2015.02.010

DO - 10.1016/j.jmaa.2015.02.010

M3 - Article

AN - SCOPUS:84923631311

SN - 0022-247X

VL - 426

SP - 1026

EP - 1039

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On blow-up of solutions to the two-component π-Camassa-Holm system

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this