Global existence and blow-up phenomena for a weakly dissipative degasperis-procesi equation

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  • Yunnan Normal University
  • Sun Yat-Sen University
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Original languageEnglish
Pages (from-to)633-645
Number of pages13
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume12
Issue number3
Publication statusPublished - 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

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Global existence and blow-up phenomena for a weakly dissipative degasperis-procesi equation. / Shuyin, W. U.; Escher, Joachim; Zhaoyang, Y. I.N.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 12, No. 3, 10.2009, p. 633-645.

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