Several Dynamical Properties for a Nonlinear Shallow Water Equation

Ls Yong and Haibo Yan

Mathematical Problems in Engineering, 2014, vol. 2014, 1-8

Abstract:

A nonlinear third order dispersive shallow water equation including the Degasperis-Procesi model is investigated. The existence of weak solutions for the equation is proved in the space under certain assumptions. The Oleinik type estimate and   ( is a natural number) estimate for the solution are obtained.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:162472

DOI: 10.1155/2014/162472

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