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WAVE BREAKING AND PERSISTENCE PROPERTIES FOR THE DISPERSIVE ROD EQUATION
Journal article   Peer reviewed

WAVE BREAKING AND PERSISTENCE PROPERTIES FOR THE DISPERSIVE ROD EQUATION

Zhengguang Guo and Yong Zhou
SIAM journal on mathematical analysis, Vol.40(6), pp.2567-2580
01/01/2009

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper is concerned with some aspects of blow up of solutions and persistence properties. Firstly, we will try to give sufficient conditions on the initial data, which guarantee finite time singularity formation for the corresponding solutions. Then a particular class of initial data for the periodic case is also considered in this paper. Finally, we investigate the persistence properties of the strong solutions.

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