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arXiv · 0909.2232

Large Time existence For 1D Green-Naghdi equations

Samer Israwi
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Abstract

We consider here the $1D $ Green-Naghdi equations that are commonly used in coastal oceanography to describe the propagation of large amplitude surface waves. We show that the solution of the Green-Naghdi equations can be constructed by a standard Picard iterative scheme so that there is no loss of regularity of the solution with respect to the initial condition.

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Samer Israwi. 2009-09-11. Large Time existence For 1D Green-Naghdi equations. https://arxiv.org/abs/0909.2232

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