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, 1-7

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
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:851476

DOI: 10.1155/2013/851476

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