On the Cauchy Problem for theb-Family Equations with a Strong Dispersive Term | Zendy

Xuefei Liu | Zendy; Mingxuan Zhu | Zendy; Zaihong Jiang | Zendy

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On the Cauchy Problem for theb-Family Equations with a Strong Dispersive Term

Author(s) -

Xuefei Liu,

Mingxuan Zhu,

Zaihong Jiang

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/513467

Subject(s) - term (time) , property (philosophy) , mathematics , dispersive partial differential equation , initial value problem , mathematical analysis , cauchy problem , persistence (discontinuity) , cauchy distribution , pure mathematics , physics , differential equation , geology , quantum mechanics , philosophy , geotechnical engineering , epistemology

In this paper, we consider b-family equations with a strong dispersive term. First, we present a criterion on blow-up. Then global existence and persistence property of the solution are also established. Finally, we discuss infinite propagation speed of this equation

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