On the Cauchy Problem for a Class of Weakly Dissipative One‐Dimensional Shallow Water Equations

Jingjing Xu and Zaihong Jiang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We investigate a more general family of one‐dimensional shallow water equations with a weakly dissipative term. First, we establish blow‐up criteria for this family of equations. Then, global existence of the solution is also proved. Finally, we discuss the infinite propagation speed of this family of equations.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/851476

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:851476

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().