A New Blow-Up Criterion for the DGH Equation

A New Blow-Up Criterion for the DGH Equation

We investigate the DGH equation. Analogous to the Camassa-Holm equation, this equation possesses the blow-up phenomenon. We establish a new blow up criterion on the initial data to guarantee the formulation of singularities in finite time.

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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.1392-1401-392
Hauptverfasser: Zhu, Mingxuan, Jin, Liangbing, Jiang, Zaihong
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Eulers equations
Fluid dynamics
Formulations
Inequality
Mathematical analysis
Partial differential equations
Propagation
Singularities
Studies
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Beschreibung
Zusammenfassung:We investigate the DGH equation. Analogous to the Camassa-Holm equation, this equation possesses the blow-up phenomenon. We establish a new blow up criterion on the initial data to guarantee the formulation of singularities in finite time.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/515948