Wave-breaking phenomenon for a generalized spatially periodic Camassa-Holm system

Wave-breaking phenomenon for a generalized spatially periodic Camassa-Holm system

Considered herein is a generalized two‐component Camassa–Holm system in spatially periodic setting. We first prove two conservation laws; then under proper assumptions on the initial data, we show the precise blow‐up scenarios and sufficient conditions guaranteeing the formation of singularities to...

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Veröffentlicht in:Mathematical methods in the applied sciences 2015-05, Vol.38 (7), p.1405-1417
1. Verfasser: Yu, Shengqi
Format: Artikel
Sprache:eng
Schlagworte:
blow up
Conservation laws
Fluid dynamics
Formations
Mathematical analysis
Partial differential equations
Singularities
two-component μ-CH system
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Zusammenfassung:Considered herein is a generalized two‐component Camassa–Holm system in spatially periodic setting. We first prove two conservation laws; then under proper assumptions on the initial data, we show the precise blow‐up scenarios and sufficient conditions guaranteeing the formation of singularities to the solutions of the generalized Camassa–Holm system. Copyright © 2014 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3155