On Blow-Up Structures for a Generalized Periodic Nonlinearly Dispersive Wave Equation

On Blow-Up Structures for a Generalized Periodic Nonlinearly Dispersive Wave Equation

The local well-posedness for a generalized periodic nonlinearly dispersive wave equation is established. Under suitable assumptions on initial value u 0 , a precise blow-up scenario and several sufficient conditions about blow-up results to the equation are presented.

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Veröffentlicht in:Mathematical problems in engineering 2014-01, Vol.2014 (1)
Hauptverfasser: Wang, Ying, Guo, Yunxi, Li, Fang
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Laboratories
Mathematical analysis
Mathematical problems
Wave dispersion
Wave equations
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Beschreibung
Zusammenfassung:The local well-posedness for a generalized periodic nonlinearly dispersive wave equation is established. Under suitable assumptions on initial value u 0 , a precise blow-up scenario and several sufficient conditions about blow-up results to the equation are presented.
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/751949