Large Time existence For 1D Green-Naghdi equations

Details Large Time existence For 1D Green-Naghdi equations Large Time existence For 1D Green-Naghdi equations

2009-09-11

arxiv.org/abs/0909.2232v1

Mathematics

Analysis of PDEs

Scientific paper

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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