Details
Original language | English |
---|---|
Pages (from-to) | 633-645 |
Number of pages | 13 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 12 |
Issue number | 3 |
Publication status | Published - Oct 2009 |
Abstract
This paper is concerned with the long time behaviour of a weakly dissipative Degasperis-Procesi equation. Our analysis discloses the co-existence of global in time solutions and finite time break down of strong solutions. Our blow-up criterion for the initial profile generalizes considerably results obtained earlier in [32].
Keywords
- Blow-up, Global existence, Weakly dissipative degasperis-procesi equation
ASJC Scopus subject areas
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Discrete and Continuous Dynamical Systems - Series B, Vol. 12, No. 3, 10.2009, p. 633-645.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Global existence and blow-up phenomena for a weakly dissipative degasperis-procesi equation
AU - Shuyin, W. U.
AU - Escher, Joachim
AU - Zhaoyang, Y. I.N.
PY - 2009/10
Y1 - 2009/10
N2 - This paper is concerned with the long time behaviour of a weakly dissipative Degasperis-Procesi equation. Our analysis discloses the co-existence of global in time solutions and finite time break down of strong solutions. Our blow-up criterion for the initial profile generalizes considerably results obtained earlier in [32].
AB - This paper is concerned with the long time behaviour of a weakly dissipative Degasperis-Procesi equation. Our analysis discloses the co-existence of global in time solutions and finite time break down of strong solutions. Our blow-up criterion for the initial profile generalizes considerably results obtained earlier in [32].
KW - Blow-up
KW - Global existence
KW - Weakly dissipative degasperis-procesi equation
UR - http://www.scopus.com/inward/record.url?scp=70350627736&partnerID=8YFLogxK
U2 - 10.3934/dcdsb.2009.12.633
DO - 10.3934/dcdsb.2009.12.633
M3 - Article
AN - SCOPUS:70350627736
VL - 12
SP - 633
EP - 645
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
SN - 1531-3492
IS - 3
ER -