![](/images/graphics-bg.png)
Wave Breaking and Propagation Speed for a Class of One-Dimensional Shallow Water Equations
Joint Authors
Jiang, Zaihong
Hakkaev, Sevdzhan
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-03
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We investigate a more general family of one-dimensional shallow water equations.
Analogous to the Camassa-Holm equation, these new equations admit blow-up phenomenon and infinite propagation speed.
First, we establish blow-up results for this family of equations under various classes of initial data.
It turns out that it is the shape instead of the size and smoothness of the initial data which influences breakdown in finite time.
Then, infinite propagation speed for the shallow water equations is proved in the following sense: the corresponding solution u(t,x) with compactly supported initial datum u0(x) does not have compact x-support any longer in its lifespan.
American Psychological Association (APA)
Jiang, Zaihong& Hakkaev, Sevdzhan. 2011. Wave Breaking and Propagation Speed for a Class of One-Dimensional Shallow Water Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-487934
Modern Language Association (MLA)
Jiang, Zaihong& Hakkaev, Sevdzhan. Wave Breaking and Propagation Speed for a Class of One-Dimensional Shallow Water Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-487934
American Medical Association (AMA)
Jiang, Zaihong& Hakkaev, Sevdzhan. Wave Breaking and Propagation Speed for a Class of One-Dimensional Shallow Water Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-487934
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487934